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Finding the Fourth Proportional to 477,223.29, 715,840.61 and 122,227.83

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Solution

The fourth proportional to 477,223.29, 715,840.61 and 122,227.83 is: 183,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,223.29 : 715,840.61 = 122,227.83 : x
  2. Step 2: Convert to fraction form
    477,223.29/715,840.61 = 122,227.83/x
  3. Step 3: Cross multiply
    477,223.29x = 715,840.61 × 122,227.83
  4. Step 4: Simplify right side
    477,223.29x = 87,495,643,775.04
  5. Step 5: Solve for x
    x = 87,495,643,775.04/477,223.29
  6. Step 6: Final answer
    x = 183,343.20

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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.