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Finding the Fourth Proportional to 382,031.40, 573,047.10 and 182,248.95

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Solution

The fourth proportional to 382,031.40, 573,047.10 and 182,248.95 is: 273,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,031.40 : 573,047.10 = 182,248.95 : x
  2. Step 2: Convert to fraction form
    382,031.40/573,047.10 = 182,248.95/x
  3. Step 3: Cross multiply
    382,031.40x = 573,047.10 × 182,248.95
  4. Step 4: Simplify right side
    382,031.40x = 104,437,232,275.55
  5. Step 5: Solve for x
    x = 104,437,232,275.55/382,031.40
  6. Step 6: Final answer
    x = 273,373.43

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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.