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Finding the Fourth Proportional to 294,976, 442,426.33 and 95,275.63

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Solution

The fourth proportional to 294,976, 442,426.33 and 95,275.63 is: 142,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,976 : 442,426.33 = 95,275.63 : x
  2. Step 2: Convert to fraction form
    294,976/442,426.33 = 95,275.63/x
  3. Step 3: Cross multiply
    294,976x = 442,426.33 × 95,275.63
  4. Step 4: Simplify right side
    294,976x = 42,152,447,319.34
  5. Step 5: Solve for x
    x = 42,152,447,319.34/294,976
  6. Step 6: Final answer
    x = 142,901.28

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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.