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Finding the Fourth Proportional to 552,746.51, 762,785.24 and 311,024.24

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Solution

The fourth proportional to 552,746.51, 762,785.24 and 311,024.24 is: 429,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,746.51 : 762,785.24 = 311,024.24 : x
  2. Step 2: Convert to fraction form
    552,746.51/762,785.24 = 311,024.24/x
  3. Step 3: Cross multiply
    552,746.51x = 762,785.24 × 311,024.24
  4. Step 4: Simplify right side
    552,746.51x = 237,244,694,185.17
  5. Step 5: Solve for x
    x = 237,244,694,185.17/552,746.51
  6. Step 6: Final answer
    x = 429,210.66

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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.