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Finding the Fourth Proportional to 512,291.64, 706,897.26 and 285,946.68

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Solution

The fourth proportional to 512,291.64, 706,897.26 and 285,946.68 is: 394,570.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,291.64 : 706,897.26 = 285,946.68 : x
  2. Step 2: Convert to fraction form
    512,291.64/706,897.26 = 285,946.68/x
  3. Step 3: Cross multiply
    512,291.64x = 706,897.26 × 285,946.68
  4. Step 4: Simplify right side
    512,291.64x = 202,134,924,598.10
  5. Step 5: Solve for x
    x = 202,134,924,598.10/512,291.64
  6. Step 6: Final answer
    x = 394,570.02

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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.