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Finding the Fourth Proportional to 361,476.40, 542,117.40 and 151,070.80

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Solution

The fourth proportional to 361,476.40, 542,117.40 and 151,070.80 is: 226,565.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,476.40 : 542,117.40 = 151,070.80 : x
  2. Step 2: Convert to fraction form
    361,476.40/542,117.40 = 151,070.80/x
  3. Step 3: Cross multiply
    361,476.40x = 542,117.40 × 151,070.80
  4. Step 4: Simplify right side
    361,476.40x = 81,898,109,311.92
  5. Step 5: Solve for x
    x = 81,898,109,311.92/361,476.40
  6. Step 6: Final answer
    x = 226,565.58

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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.