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Finding the Fourth Proportional to 533,684.16, 736,473.06 and 291,966.12

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Solution

The fourth proportional to 533,684.16, 736,473.06 and 291,966.12 is: 402,907.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,684.16 : 736,473.06 = 291,966.12 : x
  2. Step 2: Convert to fraction form
    533,684.16/736,473.06 = 291,966.12/x
  3. Step 3: Cross multiply
    533,684.16x = 736,473.06 × 291,966.12
  4. Step 4: Simplify right side
    533,684.16x = 215,025,181,812.73
  5. Step 5: Solve for x
    x = 215,025,181,812.73/533,684.16
  6. Step 6: Final answer
    x = 402,907.18

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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.