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Finding the Fourth Proportional to 415,710.70, 623,749.65 and 202,360.30

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Solution

The fourth proportional to 415,710.70, 623,749.65 and 202,360.30 is: 303,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,710.70 : 623,749.65 = 202,360.30 : x
  2. Step 2: Convert to fraction form
    415,710.70/623,749.65 = 202,360.30/x
  3. Step 3: Cross multiply
    415,710.70x = 623,749.65 × 202,360.30
  4. Step 4: Simplify right side
    415,710.70x = 126,222,166,298.90
  5. Step 5: Solve for x
    x = 126,222,166,298.90/415,710.70
  6. Step 6: Final answer
    x = 303,629.82

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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.