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Finding the Fourth Proportional to 533,148.41, 735,744.84 and 291,431.95

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Solution

The fourth proportional to 533,148.41, 735,744.84 and 291,431.95 is: 402,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,148.41 : 735,744.84 = 291,431.95 : x
  2. Step 2: Convert to fraction form
    533,148.41/735,744.84 = 291,431.95/x
  3. Step 3: Cross multiply
    533,148.41x = 735,744.84 × 291,431.95
  4. Step 4: Simplify right side
    533,148.41x = 214,419,549,744.91
  5. Step 5: Solve for x
    x = 214,419,549,744.91/533,148.41
  6. Step 6: Final answer
    x = 402,176.10

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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.