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Finding the Fourth Proportional to 406,099.04, 560,398.50 and 224,798.15

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Solution

The fourth proportional to 406,099.04, 560,398.50 and 224,798.15 is: 310,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,099.04 : 560,398.50 = 224,798.15 : x
  2. Step 2: Convert to fraction form
    406,099.04/560,398.50 = 224,798.15/x
  3. Step 3: Cross multiply
    406,099.04x = 560,398.50 × 224,798.15
  4. Step 4: Simplify right side
    406,099.04x = 125,976,547,463.77
  5. Step 5: Solve for x
    x = 125,976,547,463.77/406,099.04
  6. Step 6: Final answer
    x = 310,211.39

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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.