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Finding the Fourth Proportional to 472,096.33, 708,353.78 and 247,403.35

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Solution

The fourth proportional to 472,096.33, 708,353.78 and 247,403.35 is: 371,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,096.33 : 708,353.78 = 247,403.35 : x
  2. Step 2: Convert to fraction form
    472,096.33/708,353.78 = 247,403.35/x
  3. Step 3: Cross multiply
    472,096.33x = 708,353.78 × 247,403.35
  4. Step 4: Simplify right side
    472,096.33x = 175,249,093,378.38
  5. Step 5: Solve for x
    x = 175,249,093,378.38/472,096.33
  6. Step 6: Final answer
    x = 371,214.70

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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.