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Finding the Fourth Proportional to 561,646.55, 842,473.43 and 224,715.35

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Solution

The fourth proportional to 561,646.55, 842,473.43 and 224,715.35 is: 337,074.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,646.55 : 842,473.43 = 224,715.35 : x
  2. Step 2: Convert to fraction form
    561,646.55/842,473.43 = 224,715.35/x
  3. Step 3: Cross multiply
    561,646.55x = 842,473.43 × 224,715.35
  4. Step 4: Simplify right side
    561,646.55x = 189,316,711,688.15
  5. Step 5: Solve for x
    x = 189,316,711,688.15/561,646.55
  6. Step 6: Final answer
    x = 337,074.47

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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.