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Finding the Fourth Proportional to 360,424.38, 497,365.52 and 199,270.02

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Solution

The fourth proportional to 360,424.38, 497,365.52 and 199,270.02 is: 274,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,424.38 : 497,365.52 = 199,270.02 : x
  2. Step 2: Convert to fraction form
    360,424.38/497,365.52 = 199,270.02/x
  3. Step 3: Cross multiply
    360,424.38x = 497,365.52 × 199,270.02
  4. Step 4: Simplify right side
    360,424.38x = 99,110,037,117.71
  5. Step 5: Solve for x
    x = 99,110,037,117.71/360,424.38
  6. Step 6: Final answer
    x = 274,981.50

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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.