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Finding the Fourth Proportional to 772,284.32, 1,065,781.20 and 432,740

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Solution

The fourth proportional to 772,284.32, 1,065,781.20 and 432,740 is: 597,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,284.32 : 1,065,781.20 = 432,740 : x
  2. Step 2: Convert to fraction form
    772,284.32/1,065,781.20 = 432,740/x
  3. Step 3: Cross multiply
    772,284.32x = 1,065,781.20 × 432,740
  4. Step 4: Simplify right side
    772,284.32x = 461,206,156,488
  5. Step 5: Solve for x
    x = 461,206,156,488/772,284.32
  6. Step 6: Final answer
    x = 597,197.36

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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.