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Finding the Fourth Proportional to 501,885.02, 752,827.98 and 412,951.57

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Solution

The fourth proportional to 501,885.02, 752,827.98 and 412,951.57 is: 619,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,885.02 : 752,827.98 = 412,951.57 : x
  2. Step 2: Convert to fraction form
    501,885.02/752,827.98 = 412,951.57/x
  3. Step 3: Cross multiply
    501,885.02x = 752,827.98 × 412,951.57
  4. Step 4: Simplify right side
    501,885.02x = 310,881,500,182.08
  5. Step 5: Solve for x
    x = 310,881,500,182.08/501,885.02
  6. Step 6: Final answer
    x = 619,427.74

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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.