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Finding the Fourth Proportional to 586,774.80, 880,745.40 and 287,593.20

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Solution

The fourth proportional to 586,774.80, 880,745.40 and 287,593.20 is: 431,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,774.80 : 880,745.40 = 287,593.20 : x
  2. Step 2: Convert to fraction form
    586,774.80/880,745.40 = 287,593.20/x
  3. Step 3: Cross multiply
    586,774.80x = 880,745.40 × 287,593.20
  4. Step 4: Simplify right side
    586,774.80x = 253,296,387,971.28
  5. Step 5: Solve for x
    x = 253,296,387,971.28/586,774.80
  6. Step 6: Final answer
    x = 431,675.64

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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.