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Finding the Fourth Proportional to 495,263.88, 742,859.48 and 158,214.02

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Solution

The fourth proportional to 495,263.88, 742,859.48 and 158,214.02 is: 237,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,263.88 : 742,859.48 = 158,214.02 : x
  2. Step 2: Convert to fraction form
    495,263.88/742,859.48 = 158,214.02/x
  3. Step 3: Cross multiply
    495,263.88x = 742,859.48 × 158,214.02
  4. Step 4: Simplify right side
    495,263.88x = 117,530,781,307.15
  5. Step 5: Solve for x
    x = 117,530,781,307.15/495,263.88
  6. Step 6: Final answer
    x = 237,309.41

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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.