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Finding the Fourth Proportional to 713,818.64, 1,071,008.28 and 314,179.22

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Solution

The fourth proportional to 713,818.64, 1,071,008.28 and 314,179.22 is: 471,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,818.64 : 1,071,008.28 = 314,179.22 : x
  2. Step 2: Convert to fraction form
    713,818.64/1,071,008.28 = 314,179.22/x
  3. Step 3: Cross multiply
    713,818.64x = 1,071,008.28 × 314,179.22
  4. Step 4: Simplify right side
    713,818.64x = 336,488,546,023.94
  5. Step 5: Solve for x
    x = 336,488,546,023.94/713,818.64
  6. Step 6: Final answer
    x = 471,392.21

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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.