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Finding the Fourth Proportional to 472,133.83, 708,409.88 and 247,440.54

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Solution

The fourth proportional to 472,133.83, 708,409.88 and 247,440.54 is: 371,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,133.83 : 708,409.88 = 247,440.54 : x
  2. Step 2: Convert to fraction form
    472,133.83/708,409.88 = 247,440.54/x
  3. Step 3: Cross multiply
    472,133.83x = 708,409.88 × 247,440.54
  4. Step 4: Simplify right side
    472,133.83x = 175,289,323,248.54
  5. Step 5: Solve for x
    x = 175,289,323,248.54/472,133.83
  6. Step 6: Final answer
    x = 371,270.42

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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.