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Finding the Fourth Proportional to 541,264.07, 811,360.29 and 256,451.06

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Solution

The fourth proportional to 541,264.07, 811,360.29 and 256,451.06 is: 384,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,264.07 : 811,360.29 = 256,451.06 : x
  2. Step 2: Convert to fraction form
    541,264.07/811,360.29 = 256,451.06/x
  3. Step 3: Cross multiply
    541,264.07x = 811,360.29 × 256,451.06
  4. Step 4: Simplify right side
    541,264.07x = 208,074,209,402.50
  5. Step 5: Solve for x
    x = 208,074,209,402.50/541,264.07
  6. Step 6: Final answer
    x = 384,422.72

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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.