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Finding the Fourth Proportional to 584,513.16, 876,776.16 and 205,444.71

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Solution

The fourth proportional to 584,513.16, 876,776.16 and 205,444.71 is: 308,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,513.16 : 876,776.16 = 205,444.71 : x
  2. Step 2: Convert to fraction form
    584,513.16/876,776.16 = 205,444.71/x
  3. Step 3: Cross multiply
    584,513.16x = 876,776.16 × 205,444.71
  4. Step 4: Simplify right side
    584,513.16x = 180,129,023,926.11
  5. Step 5: Solve for x
    x = 180,129,023,926.11/584,513.16
  6. Step 6: Final answer
    x = 308,169.32

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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.