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Finding the Fourth Proportional to 434,715.60, 652,105.80 and 154,196.40

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Solution

The fourth proportional to 434,715.60, 652,105.80 and 154,196.40 is: 231,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,715.60 : 652,105.80 = 154,196.40 : x
  2. Step 2: Convert to fraction form
    434,715.60/652,105.80 = 154,196.40/x
  3. Step 3: Cross multiply
    434,715.60x = 652,105.80 × 154,196.40
  4. Step 4: Simplify right side
    434,715.60x = 100,552,366,779.12
  5. Step 5: Solve for x
    x = 100,552,366,779.12/434,715.60
  6. Step 6: Final answer
    x = 231,306.09

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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.