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Finding the Fourth Proportional to 561,641.30, 842,465.55 and 224,710.10

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Solution

The fourth proportional to 561,641.30, 842,465.55 and 224,710.10 is: 337,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,641.30 : 842,465.55 = 224,710.10 : x
  2. Step 2: Convert to fraction form
    561,641.30/842,465.55 = 224,710.10/x
  3. Step 3: Cross multiply
    561,641.30x = 842,465.55 × 224,710.10
  4. Step 4: Simplify right side
    561,641.30x = 189,310,517,987.06
  5. Step 5: Solve for x
    x = 189,310,517,987.06/561,641.30
  6. Step 6: Final answer
    x = 337,066.59

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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.