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Finding the Fourth Proportional to 566,461.44, 781,720.32 and 311,806.08

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Solution

The fourth proportional to 566,461.44, 781,720.32 and 311,806.08 is: 430,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,461.44 : 781,720.32 = 311,806.08 : x
  2. Step 2: Convert to fraction form
    566,461.44/781,720.32 = 311,806.08/x
  3. Step 3: Cross multiply
    566,461.44x = 781,720.32 × 311,806.08
  4. Step 4: Simplify right side
    566,461.44x = 243,745,148,635.55
  5. Step 5: Solve for x
    x = 243,745,148,635.55/566,461.44
  6. Step 6: Final answer
    x = 430,294.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.