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Finding the Fourth Proportional to 488,541.70, 732,812.55 and 409,809.70

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Solution

The fourth proportional to 488,541.70, 732,812.55 and 409,809.70 is: 614,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,541.70 : 732,812.55 = 409,809.70 : x
  2. Step 2: Convert to fraction form
    488,541.70/732,812.55 = 409,809.70/x
  3. Step 3: Cross multiply
    488,541.70x = 732,812.55 × 409,809.70
  4. Step 4: Simplify right side
    488,541.70x = 300,313,691,271.74
  5. Step 5: Solve for x
    x = 300,313,691,271.74/488,541.70
  6. Step 6: Final answer
    x = 614,714.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.