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Finding the Fourth Proportional to 473,141.80, 709,712.70 and 224,309.80

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Solution

The fourth proportional to 473,141.80, 709,712.70 and 224,309.80 is: 336,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,141.80 : 709,712.70 = 224,309.80 : x
  2. Step 2: Convert to fraction form
    473,141.80/709,712.70 = 224,309.80/x
  3. Step 3: Cross multiply
    473,141.80x = 709,712.70 × 224,309.80
  4. Step 4: Simplify right side
    473,141.80x = 159,195,513,794.46
  5. Step 5: Solve for x
    x = 159,195,513,794.46/473,141.80
  6. Step 6: Final answer
    x = 336,464.70

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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.