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Finding the Fourth Proportional to 463,877.59, 695,597.04 and 179,701.24

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Solution

The fourth proportional to 463,877.59, 695,597.04 and 179,701.24 is: 269,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,877.59 : 695,597.04 = 179,701.24 : x
  2. Step 2: Convert to fraction form
    463,877.59/695,597.04 = 179,701.24/x
  3. Step 3: Cross multiply
    463,877.59x = 695,597.04 × 179,701.24
  4. Step 4: Simplify right side
    463,877.59x = 124,999,650,628.33
  5. Step 5: Solve for x
    x = 124,999,650,628.33/463,877.59
  6. Step 6: Final answer
    x = 269,466.89

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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.