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Finding the Fourth Proportional to 686,127.61, 946,545.59 and 414,108.55

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Solution

The fourth proportional to 686,127.61, 946,545.59 and 414,108.55 is: 571,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,127.61 : 946,545.59 = 414,108.55 : x
  2. Step 2: Convert to fraction form
    686,127.61/946,545.59 = 414,108.55/x
  3. Step 3: Cross multiply
    686,127.61x = 946,545.59 × 414,108.55
  4. Step 4: Simplify right side
    686,127.61x = 391,972,621,783.80
  5. Step 5: Solve for x
    x = 391,972,621,783.80/686,127.61
  6. Step 6: Final answer
    x = 571,282.39

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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.