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Finding the Fourth Proportional to 406,032.80, 560,320.80 and 224,744.96

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Solution

The fourth proportional to 406,032.80, 560,320.80 and 224,744.96 is: 310,145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,032.80 : 560,320.80 = 224,744.96 : x
  2. Step 2: Convert to fraction form
    406,032.80/560,320.80 = 224,744.96/x
  3. Step 3: Cross multiply
    406,032.80x = 560,320.80 × 224,744.96
  4. Step 4: Simplify right side
    406,032.80x = 125,929,275,783.17
  5. Step 5: Solve for x
    x = 125,929,275,783.17/406,032.80
  6. Step 6: Final answer
    x = 310,145.57

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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.