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Finding the Fourth Proportional to 472,122, 708,111.90 and 152,232.66

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Solution

The fourth proportional to 472,122, 708,111.90 and 152,232.66 is: 228,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,122 : 708,111.90 = 152,232.66 : x
  2. Step 2: Convert to fraction form
    472,122/708,111.90 = 152,232.66/x
  3. Step 3: Cross multiply
    472,122x = 708,111.90 × 152,232.66
  4. Step 4: Simplify right side
    472,122x = 107,797,758,114.65
  5. Step 5: Solve for x
    x = 107,797,758,114.65/472,122
  6. Step 6: Final answer
    x = 228,326.06

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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.