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Finding the Fourth Proportional to 472,102.35, 708,362.85 and 247,409.36

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Solution

The fourth proportional to 472,102.35, 708,362.85 and 247,409.36 is: 371,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,102.35 : 708,362.85 = 247,409.36 : x
  2. Step 2: Convert to fraction form
    472,102.35/708,362.85 = 247,409.36/x
  3. Step 3: Cross multiply
    472,102.35x = 708,362.85 × 247,409.36
  4. Step 4: Simplify right side
    472,102.35x = 175,255,598,129.23
  5. Step 5: Solve for x
    x = 175,255,598,129.23/472,102.35
  6. Step 6: Final answer
    x = 371,223.74

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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.