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Finding the Fourth Proportional to 559,097.70, 838,646.55 and 381,950.70

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Solution

The fourth proportional to 559,097.70, 838,646.55 and 381,950.70 is: 572,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,097.70 : 838,646.55 = 381,950.70 : x
  2. Step 2: Convert to fraction form
    559,097.70/838,646.55 = 381,950.70/x
  3. Step 3: Cross multiply
    559,097.70x = 838,646.55 × 381,950.70
  4. Step 4: Simplify right side
    559,097.70x = 320,321,636,825.09
  5. Step 5: Solve for x
    x = 320,321,636,825.09/559,097.70
  6. Step 6: Final answer
    x = 572,926.05

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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.