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Finding the Fourth Proportional to 577,307.80, 865,808.10 and 177,947.80

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Solution

The fourth proportional to 577,307.80, 865,808.10 and 177,947.80 is: 266,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,307.80 : 865,808.10 = 177,947.80 : x
  2. Step 2: Convert to fraction form
    577,307.80/865,808.10 = 177,947.80/x
  3. Step 3: Cross multiply
    577,307.80x = 865,808.10 × 177,947.80
  4. Step 4: Simplify right side
    577,307.80x = 154,068,646,617.18
  5. Step 5: Solve for x
    x = 154,068,646,617.18/577,307.80
  6. Step 6: Final answer
    x = 266,874.35

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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.