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Finding the Fourth Proportional to 516,038.38, 712,237.75 and 298,256.30

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Solution

The fourth proportional to 516,038.38, 712,237.75 and 298,256.30 is: 411,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,038.38 : 712,237.75 = 298,256.30 : x
  2. Step 2: Convert to fraction form
    516,038.38/712,237.75 = 298,256.30/x
  3. Step 3: Cross multiply
    516,038.38x = 712,237.75 × 298,256.30
  4. Step 4: Simplify right side
    516,038.38x = 212,429,394,544.04
  5. Step 5: Solve for x
    x = 212,429,394,544.04/516,038.38
  6. Step 6: Final answer
    x = 411,654.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.