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Finding the Fourth Proportional to 461,685.92, 692,477.04 and 129,287.84

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Solution

The fourth proportional to 461,685.92, 692,477.04 and 129,287.84 is: 193,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,685.92 : 692,477.04 = 129,287.84 : x
  2. Step 2: Convert to fraction form
    461,685.92/692,477.04 = 129,287.84/x
  3. Step 3: Cross multiply
    461,685.92x = 692,477.04 × 129,287.84
  4. Step 4: Simplify right side
    461,685.92x = 89,528,860,751.19
  5. Step 5: Solve for x
    x = 89,528,860,751.19/461,685.92
  6. Step 6: Final answer
    x = 193,917.24

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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.