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Finding the Fourth Proportional to 513,794.59, 709,714.23 and 394,411.12

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Solution

The fourth proportional to 513,794.59, 709,714.23 and 394,411.12 is: 544,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,794.59 : 709,714.23 = 394,411.12 : x
  2. Step 2: Convert to fraction form
    513,794.59/709,714.23 = 394,411.12/x
  3. Step 3: Cross multiply
    513,794.59x = 709,714.23 × 394,411.12
  4. Step 4: Simplify right side
    513,794.59x = 279,919,184,334.24
  5. Step 5: Solve for x
    x = 279,919,184,334.24/513,794.59
  6. Step 6: Final answer
    x = 544,807.57

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.