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Finding the Fourth Proportional to 584,659, 876,988.50 and 141,427

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Solution

The fourth proportional to 584,659, 876,988.50 and 141,427 is: 212,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,659 : 876,988.50 = 141,427 : x
  2. Step 2: Convert to fraction form
    584,659/876,988.50 = 141,427/x
  3. Step 3: Cross multiply
    584,659x = 876,988.50 × 141,427
  4. Step 4: Simplify right side
    584,659x = 124,029,852,589.50
  5. Step 5: Solve for x
    x = 124,029,852,589.50/584,659
  6. Step 6: Final answer
    x = 212,140.50

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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.