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Finding the Fourth Proportional to 523,760.98, 785,686.74 and 144,681.60

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Solution

The fourth proportional to 523,760.98, 785,686.74 and 144,681.60 is: 217,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,760.98 : 785,686.74 = 144,681.60 : x
  2. Step 2: Convert to fraction form
    523,760.98/785,686.74 = 144,681.60/x
  3. Step 3: Cross multiply
    523,760.98x = 785,686.74 × 144,681.60
  4. Step 4: Simplify right side
    523,760.98x = 113,674,414,641.98
  5. Step 5: Solve for x
    x = 113,674,414,641.98/523,760.98
  6. Step 6: Final answer
    x = 217,034.91

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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.