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Finding the Fourth Proportional to 657,468.83, 986,301.83 and 230,929.45

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Solution

The fourth proportional to 657,468.83, 986,301.83 and 230,929.45 is: 346,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,468.83 : 986,301.83 = 230,929.45 : x
  2. Step 2: Convert to fraction form
    657,468.83/986,301.83 = 230,929.45/x
  3. Step 3: Cross multiply
    657,468.83x = 986,301.83 × 230,929.45
  4. Step 4: Simplify right side
    657,468.83x = 227,766,137,247.46
  5. Step 5: Solve for x
    x = 227,766,137,247.46/657,468.83
  6. Step 6: Final answer
    x = 346,428.80

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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.