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Finding the Fourth Proportional to 410,187.83, 566,058.12 and 228,897.83

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Solution

The fourth proportional to 410,187.83, 566,058.12 and 228,897.83 is: 315,878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,187.83 : 566,058.12 = 228,897.83 : x
  2. Step 2: Convert to fraction form
    410,187.83/566,058.12 = 228,897.83/x
  3. Step 3: Cross multiply
    410,187.83x = 566,058.12 × 228,897.83
  4. Step 4: Simplify right side
    410,187.83x = 129,569,472,491.59
  5. Step 5: Solve for x
    x = 129,569,472,491.59/410,187.83
  6. Step 6: Final answer
    x = 315,878.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.