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Finding the Fourth Proportional to 775,564.84, 1,070,344.12 and 431,465.59

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Solution

The fourth proportional to 775,564.84, 1,070,344.12 and 431,465.59 is: 595,458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,564.84 : 1,070,344.12 = 431,465.59 : x
  2. Step 2: Convert to fraction form
    775,564.84/1,070,344.12 = 431,465.59/x
  3. Step 3: Cross multiply
    775,564.84x = 1,070,344.12 × 431,465.59
  4. Step 4: Simplify right side
    775,564.84x = 461,816,658,307.10
  5. Step 5: Solve for x
    x = 461,816,658,307.10/775,564.84
  6. Step 6: Final answer
    x = 595,458.48

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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.