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Finding the Fourth Proportional to 561,314.92, 842,603.40 and 224,593.18

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Solution

The fourth proportional to 561,314.92, 842,603.40 and 224,593.18 is: 337,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,314.92 : 842,603.40 = 224,593.18 : x
  2. Step 2: Convert to fraction form
    561,314.92/842,603.40 = 224,593.18/x
  3. Step 3: Cross multiply
    561,314.92x = 842,603.40 × 224,593.18
  4. Step 4: Simplify right side
    561,314.92x = 189,242,977,084.81
  5. Step 5: Solve for x
    x = 189,242,977,084.81/561,314.92
  6. Step 6: Final answer
    x = 337,142.25

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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.