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Finding the Fourth Proportional to 292,435.20, 438,434.10 and 159,465.60

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Solution

The fourth proportional to 292,435.20, 438,434.10 and 159,465.60 is: 239,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,435.20 : 438,434.10 = 159,465.60 : x
  2. Step 2: Convert to fraction form
    292,435.20/438,434.10 = 159,465.60/x
  3. Step 3: Cross multiply
    292,435.20x = 438,434.10 × 159,465.60
  4. Step 4: Simplify right side
    292,435.20x = 69,915,156,816.96
  5. Step 5: Solve for x
    x = 69,915,156,816.96/292,435.20
  6. Step 6: Final answer
    x = 239,079.14

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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.