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Finding the Fourth Proportional to 803,223.81, 1,204,447.86 and 466,349.40

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Solution

The fourth proportional to 803,223.81, 1,204,447.86 and 466,349.40 is: 699,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,223.81 : 1,204,447.86 = 466,349.40 : x
  2. Step 2: Convert to fraction form
    803,223.81/1,204,447.86 = 466,349.40/x
  3. Step 3: Cross multiply
    803,223.81x = 1,204,447.86 × 466,349.40
  4. Step 4: Simplify right side
    803,223.81x = 561,693,536,842.28
  5. Step 5: Solve for x
    x = 561,693,536,842.28/803,223.81
  6. Step 6: Final answer
    x = 699,298.91

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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.