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Finding the Fourth Proportional to 389,502.74, 584,254.10 and 94,014.74

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Solution

The fourth proportional to 389,502.74, 584,254.10 and 94,014.74 is: 141,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,502.74 : 584,254.10 = 94,014.74 : x
  2. Step 2: Convert to fraction form
    389,502.74/584,254.10 = 94,014.74/x
  3. Step 3: Cross multiply
    389,502.74x = 584,254.10 × 94,014.74
  4. Step 4: Simplify right side
    389,502.74x = 54,928,494,619.20
  5. Step 5: Solve for x
    x = 54,928,494,619.20/389,502.74
  6. Step 6: Final answer
    x = 141,022.10

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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.