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Finding the Fourth Proportional to 411,877.95, 615,312.23 and 266,600.33

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Solution

The fourth proportional to 411,877.95, 615,312.23 and 266,600.33 is: 398,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,877.95 : 615,312.23 = 266,600.33 : x
  2. Step 2: Convert to fraction form
    411,877.95/615,312.23 = 266,600.33/x
  3. Step 3: Cross multiply
    411,877.95x = 615,312.23 × 266,600.33
  4. Step 4: Simplify right side
    411,877.95x = 164,042,443,571.04
  5. Step 5: Solve for x
    x = 164,042,443,571.04/411,877.95
  6. Step 6: Final answer
    x = 398,279.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.