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Finding the Fourth Proportional to 566,510.68, 781,755.06 and 311,812.12

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Solution

The fourth proportional to 566,510.68, 781,755.06 and 311,812.12 is: 430,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,510.68 : 781,755.06 = 311,812.12 : x
  2. Step 2: Convert to fraction form
    566,510.68/781,755.06 = 311,812.12/x
  3. Step 3: Cross multiply
    566,510.68x = 781,755.06 × 311,812.12
  4. Step 4: Simplify right side
    566,510.68x = 243,760,702,579.33
  5. Step 5: Solve for x
    x = 243,760,702,579.33/566,510.68
  6. Step 6: Final answer
    x = 430,284.39

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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.