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Finding the Fourth Proportional to 342,663.52, 472,925.14 and 197,441.48

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Solution

The fourth proportional to 342,663.52, 472,925.14 and 197,441.48 is: 272,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,663.52 : 472,925.14 = 197,441.48 : x
  2. Step 2: Convert to fraction form
    342,663.52/472,925.14 = 197,441.48/x
  3. Step 3: Cross multiply
    342,663.52x = 472,925.14 × 197,441.48
  4. Step 4: Simplify right side
    342,663.52x = 93,375,039,570.81
  5. Step 5: Solve for x
    x = 93,375,039,570.81/342,663.52
  6. Step 6: Final answer
    x = 272,497.75

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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.