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Finding the Fourth Proportional to 410,068.64, 565,894.80 and 231,220.64

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Solution

The fourth proportional to 410,068.64, 565,894.80 and 231,220.64 is: 319,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,068.64 : 565,894.80 = 231,220.64 : x
  2. Step 2: Convert to fraction form
    410,068.64/565,894.80 = 231,220.64/x
  3. Step 3: Cross multiply
    410,068.64x = 565,894.80 × 231,220.64
  4. Step 4: Simplify right side
    410,068.64x = 130,846,557,828.67
  5. Step 5: Solve for x
    x = 130,846,557,828.67/410,068.64
  6. Step 6: Final answer
    x = 319,084.53

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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.