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Finding the Fourth Proportional to 461,678.24, 692,607.12 and 177,348

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Solution

The fourth proportional to 461,678.24, 692,607.12 and 177,348 is: 266,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,678.24 : 692,607.12 = 177,348 : x
  2. Step 2: Convert to fraction form
    461,678.24/692,607.12 = 177,348/x
  3. Step 3: Cross multiply
    461,678.24x = 692,607.12 × 177,348
  4. Step 4: Simplify right side
    461,678.24x = 122,832,487,517.76
  5. Step 5: Solve for x
    x = 122,832,487,517.76/461,678.24
  6. Step 6: Final answer
    x = 266,056.48

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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.