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Finding the Fourth Proportional to 472,153.02, 708,228.54 and 147,966

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Solution

The fourth proportional to 472,153.02, 708,228.54 and 147,966 is: 221,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,153.02 : 708,228.54 = 147,966 : x
  2. Step 2: Convert to fraction form
    472,153.02/708,228.54 = 147,966/x
  3. Step 3: Cross multiply
    472,153.02x = 708,228.54 × 147,966
  4. Step 4: Simplify right side
    472,153.02x = 104,793,744,149.64
  5. Step 5: Solve for x
    x = 104,793,744,149.64/472,153.02
  6. Step 6: Final answer
    x = 221,948.69

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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.