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Finding the Fourth Proportional to 461,772.15, 692,731.13 and 195,534.33

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Solution

The fourth proportional to 461,772.15, 692,731.13 and 195,534.33 is: 293,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,772.15 : 692,731.13 = 195,534.33 : x
  2. Step 2: Convert to fraction form
    461,772.15/692,731.13 = 195,534.33/x
  3. Step 3: Cross multiply
    461,772.15x = 692,731.13 × 195,534.33
  4. Step 4: Simplify right side
    461,772.15x = 135,452,716,397.02
  5. Step 5: Solve for x
    x = 135,452,716,397.02/461,772.15
  6. Step 6: Final answer
    x = 293,332.36

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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.