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Finding the Fourth Proportional to 431,922.68, 648,071.14 and 232,009.82

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Solution

The fourth proportional to 431,922.68, 648,071.14 and 232,009.82 is: 348,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,922.68 : 648,071.14 = 232,009.82 : x
  2. Step 2: Convert to fraction form
    431,922.68/648,071.14 = 232,009.82/x
  3. Step 3: Cross multiply
    431,922.68x = 648,071.14 × 232,009.82
  4. Step 4: Simplify right side
    431,922.68x = 150,358,868,538.60
  5. Step 5: Solve for x
    x = 150,358,868,538.60/431,922.68
  6. Step 6: Final answer
    x = 348,115.24

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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.