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Finding the Fourth Proportional to 495,264.88, 742,860.98 and 158,215.02

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Solution

The fourth proportional to 495,264.88, 742,860.98 and 158,215.02 is: 237,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,264.88 : 742,860.98 = 158,215.02 : x
  2. Step 2: Convert to fraction form
    495,264.88/742,860.98 = 158,215.02/x
  3. Step 3: Cross multiply
    495,264.88x = 742,860.98 × 158,215.02
  4. Step 4: Simplify right side
    495,264.88x = 117,531,764,807.92
  5. Step 5: Solve for x
    x = 117,531,764,807.92/495,264.88
  6. Step 6: Final answer
    x = 237,310.92

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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.