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Finding the Fourth Proportional to 415,038.39, 622,114.11 and 296,349.90

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Solution

The fourth proportional to 415,038.39, 622,114.11 and 296,349.90 is: 444,208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,038.39 : 622,114.11 = 296,349.90 : x
  2. Step 2: Convert to fraction form
    415,038.39/622,114.11 = 296,349.90/x
  3. Step 3: Cross multiply
    415,038.39x = 622,114.11 × 296,349.90
  4. Step 4: Simplify right side
    415,038.39x = 184,363,454,287.09
  5. Step 5: Solve for x
    x = 184,363,454,287.09/415,038.39
  6. Step 6: Final answer
    x = 444,208.20

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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.