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Finding the Fourth Proportional to 461,646.91, 692,560.13 and 177,316.57

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Solution

The fourth proportional to 461,646.91, 692,560.13 and 177,316.57 is: 266,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,646.91 : 692,560.13 = 177,316.57 : x
  2. Step 2: Convert to fraction form
    461,646.91/692,560.13 = 177,316.57/x
  3. Step 3: Cross multiply
    461,646.91x = 692,560.13 × 177,316.57
  4. Step 4: Simplify right side
    461,646.91x = 122,802,386,770.35
  5. Step 5: Solve for x
    x = 122,802,386,770.35/461,646.91
  6. Step 6: Final answer
    x = 266,009.33

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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.