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Finding the Fourth Proportional to 406,265.84, 560,646.35 and 224,977.55

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Solution

The fourth proportional to 406,265.84, 560,646.35 and 224,977.55 is: 310,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,265.84 : 560,646.35 = 224,977.55 : x
  2. Step 2: Convert to fraction form
    406,265.84/560,646.35 = 224,977.55/x
  3. Step 3: Cross multiply
    406,265.84x = 560,646.35 × 224,977.55
  4. Step 4: Simplify right side
    406,265.84x = 126,132,838,311.32
  5. Step 5: Solve for x
    x = 126,132,838,311.32/406,265.84
  6. Step 6: Final answer
    x = 310,468.73

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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.