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Finding the Fourth Proportional to 577,265.10, 865,897.65 and 177,870.30

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Solution

The fourth proportional to 577,265.10, 865,897.65 and 177,870.30 is: 266,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,265.10 : 865,897.65 = 177,870.30 : x
  2. Step 2: Convert to fraction form
    577,265.10/865,897.65 = 177,870.30/x
  3. Step 3: Cross multiply
    577,265.10x = 865,897.65 × 177,870.30
  4. Step 4: Simplify right side
    577,265.10x = 154,017,474,774.80
  5. Step 5: Solve for x
    x = 154,017,474,774.80/577,265.10
  6. Step 6: Final answer
    x = 266,805.45

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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.