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Finding the Fourth Proportional to 493,689, 740,535.93 and 119,712

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Solution

The fourth proportional to 493,689, 740,535.93 and 119,712 is: 179,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,689 : 740,535.93 = 119,712 : x
  2. Step 2: Convert to fraction form
    493,689/740,535.93 = 119,712/x
  3. Step 3: Cross multiply
    493,689x = 740,535.93 × 119,712
  4. Step 4: Simplify right side
    493,689x = 88,651,037,252.16
  5. Step 5: Solve for x
    x = 88,651,037,252.16/493,689
  6. Step 6: Final answer
    x = 179,568.59

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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.