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Finding the Fourth Proportional to 472,632.43, 708,945 and 117,644.08

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Solution

The fourth proportional to 472,632.43, 708,945 and 117,644.08 is: 176,465.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,632.43 : 708,945 = 117,644.08 : x
  2. Step 2: Convert to fraction form
    472,632.43/708,945 = 117,644.08/x
  3. Step 3: Cross multiply
    472,632.43x = 708,945 × 117,644.08
  4. Step 4: Simplify right side
    472,632.43x = 83,403,182,295.60
  5. Step 5: Solve for x
    x = 83,403,182,295.60/472,632.43
  6. Step 6: Final answer
    x = 176,465.21

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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.