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Finding the Fourth Proportional to 498,886, 748,335.48 and 166,462

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Solution

The fourth proportional to 498,886, 748,335.48 and 166,462 is: 249,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,886 : 748,335.48 = 166,462 : x
  2. Step 2: Convert to fraction form
    498,886/748,335.48 = 166,462/x
  3. Step 3: Cross multiply
    498,886x = 748,335.48 × 166,462
  4. Step 4: Simplify right side
    498,886x = 124,569,420,671.76
  5. Step 5: Solve for x
    x = 124,569,420,671.76/498,886
  6. Step 6: Final answer
    x = 249,695.16

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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.