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Finding the Fourth Proportional to 464,365.10, 696,595.32 and 160,758.78

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Solution

The fourth proportional to 464,365.10, 696,595.32 and 160,758.78 is: 241,154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,365.10 : 696,595.32 = 160,758.78 : x
  2. Step 2: Convert to fraction form
    464,365.10/696,595.32 = 160,758.78/x
  3. Step 3: Cross multiply
    464,365.10x = 696,595.32 × 160,758.78
  4. Step 4: Simplify right side
    464,365.10x = 111,983,813,796.91
  5. Step 5: Solve for x
    x = 111,983,813,796.91/464,365.10
  6. Step 6: Final answer
    x = 241,154.68

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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.