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Finding the Fourth Proportional to 686,124.36, 946,137.78 and 542,657.16

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Solution

The fourth proportional to 686,124.36, 946,137.78 and 542,657.16 is: 748,302.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,124.36 : 946,137.78 = 542,657.16 : x
  2. Step 2: Convert to fraction form
    686,124.36/946,137.78 = 542,657.16/x
  3. Step 3: Cross multiply
    686,124.36x = 946,137.78 × 542,657.16
  4. Step 4: Simplify right side
    686,124.36x = 513,428,440,663.51
  5. Step 5: Solve for x
    x = 513,428,440,663.51/686,124.36
  6. Step 6: Final answer
    x = 748,302.31

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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.