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Finding the Fourth Proportional to 493,654.32, 740,510.20 and 138,696.02

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Solution

The fourth proportional to 493,654.32, 740,510.20 and 138,696.02 is: 208,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,654.32 : 740,510.20 = 138,696.02 : x
  2. Step 2: Convert to fraction form
    493,654.32/740,510.20 = 138,696.02/x
  3. Step 3: Cross multiply
    493,654.32x = 740,510.20 × 138,696.02
  4. Step 4: Simplify right side
    493,654.32x = 102,705,817,509.40
  5. Step 5: Solve for x
    x = 102,705,817,509.40/493,654.32
  6. Step 6: Final answer
    x = 208,052.10

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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.