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Finding the Fourth Proportional to 865,438.40, 1,194,369.64 and 498,028.16

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Solution

The fourth proportional to 865,438.40, 1,194,369.64 and 498,028.16 is: 687,316.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,438.40 : 1,194,369.64 = 498,028.16 : x
  2. Step 2: Convert to fraction form
    865,438.40/1,194,369.64 = 498,028.16/x
  3. Step 3: Cross multiply
    865,438.40x = 1,194,369.64 × 498,028.16
  4. Step 4: Simplify right side
    865,438.40x = 594,829,714,169.06
  5. Step 5: Solve for x
    x = 594,829,714,169.06/865,438.40
  6. Step 6: Final answer
    x = 687,316.06

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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.