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Finding the Fourth Proportional to 463,043.04, 698,035.24 and 432,180.80

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Solution

The fourth proportional to 463,043.04, 698,035.24 and 432,180.80 is: 651,510.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,043.04 : 698,035.24 = 432,180.80 : x
  2. Step 2: Convert to fraction form
    463,043.04/698,035.24 = 432,180.80/x
  3. Step 3: Cross multiply
    463,043.04x = 698,035.24 × 432,180.80
  4. Step 4: Simplify right side
    463,043.04x = 301,677,428,451.39
  5. Step 5: Solve for x
    x = 301,677,428,451.39/463,043.04
  6. Step 6: Final answer
    x = 651,510.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.