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Finding the Fourth Proportional to 686,126.36, 946,140.54 and 542,659.16

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Solution

The fourth proportional to 686,126.36, 946,140.54 and 542,659.16 is: 748,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,126.36 : 946,140.54 = 542,659.16 : x
  2. Step 2: Convert to fraction form
    686,126.36/946,140.54 = 542,659.16/x
  3. Step 3: Cross multiply
    686,126.36x = 946,140.54 × 542,659.16
  4. Step 4: Simplify right side
    686,126.36x = 513,431,830,678.35
  5. Step 5: Solve for x
    x = 513,431,830,678.35/686,126.36
  6. Step 6: Final answer
    x = 748,305.07

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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.