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Finding the Fourth Proportional to 435,426.60, 652,746.24 and 154,878.24

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Solution

The fourth proportional to 435,426.60, 652,746.24 and 154,878.24 is: 232,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,426.60 : 652,746.24 = 154,878.24 : x
  2. Step 2: Convert to fraction form
    435,426.60/652,746.24 = 154,878.24/x
  3. Step 3: Cross multiply
    435,426.60x = 652,746.24 × 154,878.24
  4. Step 4: Simplify right side
    435,426.60x = 101,096,188,817.82
  5. Step 5: Solve for x
    x = 101,096,188,817.82/435,426.60
  6. Step 6: Final answer
    x = 232,177.34

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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.