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Finding the Fourth Proportional to 407,132.64, 610,403.76 and 273,681.92

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Solution

The fourth proportional to 407,132.64, 610,403.76 and 273,681.92 is: 410,324.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,132.64 : 610,403.76 = 273,681.92 : x
  2. Step 2: Convert to fraction form
    407,132.64/610,403.76 = 273,681.92/x
  3. Step 3: Cross multiply
    407,132.64x = 610,403.76 × 273,681.92
  4. Step 4: Simplify right side
    407,132.64x = 167,056,473,012.02
  5. Step 5: Solve for x
    x = 167,056,473,012.02/407,132.64
  6. Step 6: Final answer
    x = 410,324.44

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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.