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Finding the Fourth Proportional to 406,020, 560,308.84 and 224,744.52

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Solution

The fourth proportional to 406,020, 560,308.84 and 224,744.52 is: 310,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,020 : 560,308.84 = 224,744.52 : x
  2. Step 2: Convert to fraction form
    406,020/560,308.84 = 224,744.52/x
  3. Step 3: Cross multiply
    406,020x = 560,308.84 × 224,744.52
  4. Step 4: Simplify right side
    406,020x = 125,926,341,297.56
  5. Step 5: Solve for x
    x = 125,926,341,297.56/406,020
  6. Step 6: Final answer
    x = 310,148.12

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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.