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Finding the Fourth Proportional to 462,077.10, 693,115.65 and 162,603.90

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Solution

The fourth proportional to 462,077.10, 693,115.65 and 162,603.90 is: 243,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,077.10 : 693,115.65 = 162,603.90 : x
  2. Step 2: Convert to fraction form
    462,077.10/693,115.65 = 162,603.90/x
  3. Step 3: Cross multiply
    462,077.10x = 693,115.65 × 162,603.90
  4. Step 4: Simplify right side
    462,077.10x = 112,703,307,841.04
  5. Step 5: Solve for x
    x = 112,703,307,841.04/462,077.10
  6. Step 6: Final answer
    x = 243,905.85

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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.