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Finding the Fourth Proportional to 512,276.64, 706,876.56 and 285,931.68

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Solution

The fourth proportional to 512,276.64, 706,876.56 and 285,931.68 is: 394,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,276.64 : 706,876.56 = 285,931.68 : x
  2. Step 2: Convert to fraction form
    512,276.64/706,876.56 = 285,931.68/x
  3. Step 3: Cross multiply
    512,276.64x = 706,876.56 × 285,931.68
  4. Step 4: Simplify right side
    512,276.64x = 202,118,402,353.42
  5. Step 5: Solve for x
    x = 202,118,402,353.42/512,276.64
  6. Step 6: Final answer
    x = 394,549.32

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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.