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Finding the Fourth Proportional to 360,875.70, 498,061.26 and 207,884.16

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Solution

The fourth proportional to 360,875.70, 498,061.26 and 207,884.16 is: 286,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,875.70 : 498,061.26 = 207,884.16 : x
  2. Step 2: Convert to fraction form
    360,875.70/498,061.26 = 207,884.16/x
  3. Step 3: Cross multiply
    360,875.70x = 498,061.26 × 207,884.16
  4. Step 4: Simplify right side
    360,875.70x = 103,539,046,663.64
  5. Step 5: Solve for x
    x = 103,539,046,663.64/360,875.70
  6. Step 6: Final answer
    x = 286,910.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.