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Finding the Fourth Proportional to 357,158.52, 534,458.61 and 309,292.92

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Solution

The fourth proportional to 357,158.52, 534,458.61 and 309,292.92 is: 462,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,158.52 : 534,458.61 = 309,292.92 : x
  2. Step 2: Convert to fraction form
    357,158.52/534,458.61 = 309,292.92/x
  3. Step 3: Cross multiply
    357,158.52x = 534,458.61 × 309,292.92
  4. Step 4: Simplify right side
    357,158.52x = 165,304,264,106.04
  5. Step 5: Solve for x
    x = 165,304,264,106.04/357,158.52
  6. Step 6: Final answer
    x = 462,831.64

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Why These Related Problems?

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