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Finding the Fourth Proportional to 584,513.70, 876,122.55 and 229,409.70

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Solution

The fourth proportional to 584,513.70, 876,122.55 and 229,409.70 is: 343,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,513.70 : 876,122.55 = 229,409.70 : x
  2. Step 2: Convert to fraction form
    584,513.70/876,122.55 = 229,409.70/x
  3. Step 3: Cross multiply
    584,513.70x = 876,122.55 × 229,409.70
  4. Step 4: Simplify right side
    584,513.70x = 200,991,011,358.74
  5. Step 5: Solve for x
    x = 200,991,011,358.74/584,513.70
  6. Step 6: Final answer
    x = 343,860.22

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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.