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Finding the Fourth Proportional to 465,458.79, 642,130.68 and 293,272.23

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Solution

The fourth proportional to 465,458.79, 642,130.68 and 293,272.23 is: 404,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,458.79 : 642,130.68 = 293,272.23 : x
  2. Step 2: Convert to fraction form
    465,458.79/642,130.68 = 293,272.23/x
  3. Step 3: Cross multiply
    465,458.79x = 642,130.68 × 293,272.23
  4. Step 4: Simplify right side
    465,458.79x = 188,319,096,475.02
  5. Step 5: Solve for x
    x = 188,319,096,475.02/465,458.79
  6. Step 6: Final answer
    x = 404,588.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.