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Finding the Fourth Proportional to 498,061.60, 746,201.40 and 302,959.60

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Solution

The fourth proportional to 498,061.60, 746,201.40 and 302,959.60 is: 453,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,061.60 : 746,201.40 = 302,959.60 : x
  2. Step 2: Convert to fraction form
    498,061.60/746,201.40 = 302,959.60/x
  3. Step 3: Cross multiply
    498,061.60x = 746,201.40 × 302,959.60
  4. Step 4: Simplify right side
    498,061.60x = 226,068,877,663.44
  5. Step 5: Solve for x
    x = 226,068,877,663.44/498,061.60
  6. Step 6: Final answer
    x = 453,897.42

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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.