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Finding the Fourth Proportional to 412,320.06, 568,992.06 and 242,565.12

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Solution

The fourth proportional to 412,320.06, 568,992.06 and 242,565.12 is: 334,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,320.06 : 568,992.06 = 242,565.12 : x
  2. Step 2: Convert to fraction form
    412,320.06/568,992.06 = 242,565.12/x
  3. Step 3: Cross multiply
    412,320.06x = 568,992.06 × 242,565.12
  4. Step 4: Simplify right side
    412,320.06x = 138,017,627,312.95
  5. Step 5: Solve for x
    x = 138,017,627,312.95/412,320.06
  6. Step 6: Final answer
    x = 334,734.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.