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Finding the Fourth Proportional to 493,981.88, 742,155.04 and 316,834.88

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Solution

The fourth proportional to 493,981.88, 742,155.04 and 316,834.88 is: 476,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,981.88 : 742,155.04 = 316,834.88 : x
  2. Step 2: Convert to fraction form
    493,981.88/742,155.04 = 316,834.88/x
  3. Step 3: Cross multiply
    493,981.88x = 742,155.04 × 316,834.88
  4. Step 4: Simplify right side
    493,981.88x = 235,140,603,039.80
  5. Step 5: Solve for x
    x = 235,140,603,039.80/493,981.88
  6. Step 6: Final answer
    x = 476,010.58

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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.