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Finding the Fourth Proportional to 561,641.60, 842,462.40 and 402,209.30

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Solution

The fourth proportional to 561,641.60, 842,462.40 and 402,209.30 is: 603,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,641.60 : 842,462.40 = 402,209.30 : x
  2. Step 2: Convert to fraction form
    561,641.60/842,462.40 = 402,209.30/x
  3. Step 3: Cross multiply
    561,641.60x = 842,462.40 × 402,209.30
  4. Step 4: Simplify right side
    561,641.60x = 338,846,212,180.32
  5. Step 5: Solve for x
    x = 338,846,212,180.32/561,641.60
  6. Step 6: Final answer
    x = 603,313.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.