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Finding the Fourth Proportional to 494,381.55, 741,642.86 and 152,854.36

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Solution

The fourth proportional to 494,381.55, 741,642.86 and 152,854.36 is: 229,303.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,381.55 : 741,642.86 = 152,854.36 : x
  2. Step 2: Convert to fraction form
    494,381.55/741,642.86 = 152,854.36/x
  3. Step 3: Cross multiply
    494,381.55x = 741,642.86 × 152,854.36
  4. Step 4: Simplify right side
    494,381.55x = 113,363,344,713.87
  5. Step 5: Solve for x
    x = 113,363,344,713.87/494,381.55
  6. Step 6: Final answer
    x = 229,303.35

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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.