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Finding the Fourth Proportional to 493,878.80, 740,741.00 and 156,875.10

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Solution

The fourth proportional to 493,878.80, 740,741.00 and 156,875.10 is: 235,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,878.80 : 740,741.00 = 156,875.10 : x
  2. Step 2: Convert to fraction form
    493,878.80/740,741.00 = 156,875.10/x
  3. Step 3: Cross multiply
    493,878.80x = 740,741.00 × 156,875.10
  4. Step 4: Simplify right side
    493,878.80x = 116,203,817,664.73
  5. Step 5: Solve for x
    x = 116,203,817,664.73/493,878.80
  6. Step 6: Final answer
    x = 235,288.13

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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.