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Finding the Fourth Proportional to 412,339.08, 569,018.28 and 242,584.12

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Solution

The fourth proportional to 412,339.08, 569,018.28 and 242,584.12 is: 334,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,339.08 : 569,018.28 = 242,584.12 : x
  2. Step 2: Convert to fraction form
    412,339.08/569,018.28 = 242,584.12/x
  3. Step 3: Cross multiply
    412,339.08x = 569,018.28 × 242,584.12
  4. Step 4: Simplify right side
    412,339.08x = 138,034,798,717.71
  5. Step 5: Solve for x
    x = 138,034,798,717.71/412,339.08
  6. Step 6: Final answer
    x = 334,760.41

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