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Finding the Fourth Proportional to 684,322.26, 1,026,462.12 and 284,952.97

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Solution

The fourth proportional to 684,322.26, 1,026,462.12 and 284,952.97 is: 427,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,322.26 : 1,026,462.12 = 284,952.97 : x
  2. Step 2: Convert to fraction form
    684,322.26/1,026,462.12 = 284,952.97/x
  3. Step 3: Cross multiply
    684,322.26x = 1,026,462.12 × 284,952.97
  4. Step 4: Simplify right side
    684,322.26x = 292,493,429,686.50
  5. Step 5: Solve for x
    x = 292,493,429,686.50/684,322.26
  6. Step 6: Final answer
    x = 427,420.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.