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Finding the Fourth Proportional to 362,264.08, 542,689.26 and 237,226

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Solution

The fourth proportional to 362,264.08, 542,689.26 and 237,226 is: 355,376.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,264.08 : 542,689.26 = 237,226 : x
  2. Step 2: Convert to fraction form
    362,264.08/542,689.26 = 237,226/x
  3. Step 3: Cross multiply
    362,264.08x = 542,689.26 × 237,226
  4. Step 4: Simplify right side
    362,264.08x = 128,740,002,392.76
  5. Step 5: Solve for x
    x = 128,740,002,392.76/362,264.08
  6. Step 6: Final answer
    x = 355,376.12

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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.