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Finding the Fourth Proportional to 437,643.60, 656,465.40 and 157,124.40

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Solution

The fourth proportional to 437,643.60, 656,465.40 and 157,124.40 is: 235,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,643.60 : 656,465.40 = 157,124.40 : x
  2. Step 2: Convert to fraction form
    437,643.60/656,465.40 = 157,124.40/x
  3. Step 3: Cross multiply
    437,643.60x = 656,465.40 × 157,124.40
  4. Step 4: Simplify right side
    437,643.60x = 103,146,732,095.76
  5. Step 5: Solve for x
    x = 103,146,732,095.76/437,643.60
  6. Step 6: Final answer
    x = 235,686.60

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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.