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Finding the Fourth Proportional to 490,095.60, 735,143.40 and 157,705.20

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Solution

The fourth proportional to 490,095.60, 735,143.40 and 157,705.20 is: 236,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,095.60 : 735,143.40 = 157,705.20 : x
  2. Step 2: Convert to fraction form
    490,095.60/735,143.40 = 157,705.20/x
  3. Step 3: Cross multiply
    490,095.60x = 735,143.40 × 157,705.20
  4. Step 4: Simplify right side
    490,095.60x = 115,935,936,925.68
  5. Step 5: Solve for x
    x = 115,935,936,925.68/490,095.60
  6. Step 6: Final answer
    x = 236,557.80

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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.