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Finding the Fourth Proportional to 472,320.54, 708,351.12 and 282,631.68

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Solution

The fourth proportional to 472,320.54, 708,351.12 and 282,631.68 is: 423,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,320.54 : 708,351.12 = 282,631.68 : x
  2. Step 2: Convert to fraction form
    472,320.54/708,351.12 = 282,631.68/x
  3. Step 3: Cross multiply
    472,320.54x = 708,351.12 × 282,631.68
  4. Step 4: Simplify right side
    472,320.54x = 200,202,467,075.48
  5. Step 5: Solve for x
    x = 200,202,467,075.48/472,320.54
  6. Step 6: Final answer
    x = 423,869.91

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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.