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Finding the Fourth Proportional to 265,648.77, 398,417.13 and 97,248.69

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Solution

The fourth proportional to 265,648.77, 398,417.13 and 97,248.69 is: 145,852.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,648.77 : 398,417.13 = 97,248.69 : x
  2. Step 2: Convert to fraction form
    265,648.77/398,417.13 = 97,248.69/x
  3. Step 3: Cross multiply
    265,648.77x = 398,417.13 × 97,248.69
  4. Step 4: Simplify right side
    265,648.77x = 38,745,543,966.06
  5. Step 5: Solve for x
    x = 38,745,543,966.06/265,648.77
  6. Step 6: Final answer
    x = 145,852.53

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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.