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Finding the Fourth Proportional to 584,341.98, 876,906.63 and 229,314.12

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Solution

The fourth proportional to 584,341.98, 876,906.63 and 229,314.12 is: 344,125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,341.98 : 876,906.63 = 229,314.12 : x
  2. Step 2: Convert to fraction form
    584,341.98/876,906.63 = 229,314.12/x
  3. Step 3: Cross multiply
    584,341.98x = 876,906.63 × 229,314.12
  4. Step 4: Simplify right side
    584,341.98x = 201,087,072,180.62
  5. Step 5: Solve for x
    x = 201,087,072,180.62/584,341.98
  6. Step 6: Final answer
    x = 344,125.66

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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.