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Finding the Fourth Proportional to 310,588.09, 465,892.49 and 85,929.71

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Solution

The fourth proportional to 310,588.09, 465,892.49 and 85,929.71 is: 128,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,588.09 : 465,892.49 = 85,929.71 : x
  2. Step 2: Convert to fraction form
    310,588.09/465,892.49 = 85,929.71/x
  3. Step 3: Cross multiply
    310,588.09x = 465,892.49 × 85,929.71
  4. Step 4: Simplify right side
    310,588.09x = 40,034,004,442.24
  5. Step 5: Solve for x
    x = 40,034,004,442.24/310,588.09
  6. Step 6: Final answer
    x = 128,897.42

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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.