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Finding the Fourth Proportional to 533,156.61, 735,756.18 and 291,440.16

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Solution

The fourth proportional to 533,156.61, 735,756.18 and 291,440.16 is: 402,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,156.61 : 735,756.18 = 291,440.16 : x
  2. Step 2: Convert to fraction form
    533,156.61/735,756.18 = 291,440.16/x
  3. Step 3: Cross multiply
    533,156.61x = 735,756.18 × 291,440.16
  4. Step 4: Simplify right side
    533,156.61x = 214,428,897,727.29
  5. Step 5: Solve for x
    x = 214,428,897,727.29/533,156.61
  6. Step 6: Final answer
    x = 402,187.45

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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.