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Finding the Fourth Proportional to 533,281.06, 735,925.98 and 291,563.20

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Solution

The fourth proportional to 533,281.06, 735,925.98 and 291,563.20 is: 402,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,281.06 : 735,925.98 = 291,563.20 : x
  2. Step 2: Convert to fraction form
    533,281.06/735,925.98 = 291,563.20/x
  3. Step 3: Cross multiply
    533,281.06x = 735,925.98 × 291,563.20
  4. Step 4: Simplify right side
    533,281.06x = 214,568,933,691.94
  5. Step 5: Solve for x
    x = 214,568,933,691.94/533,281.06
  6. Step 6: Final answer
    x = 402,356.19

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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.