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Finding the Fourth Proportional to 410,061.88, 565,886.24 and 228,769.28

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Solution

The fourth proportional to 410,061.88, 565,886.24 and 228,769.28 is: 315,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,061.88 : 565,886.24 = 228,769.28 : x
  2. Step 2: Convert to fraction form
    410,061.88/565,886.24 = 228,769.28/x
  3. Step 3: Cross multiply
    410,061.88x = 565,886.24 × 228,769.28
  4. Step 4: Simplify right side
    410,061.88x = 129,457,387,686.71
  5. Step 5: Solve for x
    x = 129,457,387,686.71/410,061.88
  6. Step 6: Final answer
    x = 315,702.08

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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.