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Finding the Fourth Proportional to 493,675.40, 740,513.10 and 119,697.80

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Solution

The fourth proportional to 493,675.40, 740,513.10 and 119,697.80 is: 179,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,675.40 : 740,513.10 = 119,697.80 : x
  2. Step 2: Convert to fraction form
    493,675.40/740,513.10 = 119,697.80/x
  3. Step 3: Cross multiply
    493,675.40x = 740,513.10 × 119,697.80
  4. Step 4: Simplify right side
    493,675.40x = 88,637,788,941.18
  5. Step 5: Solve for x
    x = 88,637,788,941.18/493,675.40
  6. Step 6: Final answer
    x = 179,546.70

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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.