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Finding the Fourth Proportional to 458,862.80, 686,911.80 and 409,096.40

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Solution

The fourth proportional to 458,862.80, 686,911.80 and 409,096.40 is: 612,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,862.80 : 686,911.80 = 409,096.40 : x
  2. Step 2: Convert to fraction form
    458,862.80/686,911.80 = 409,096.40/x
  3. Step 3: Cross multiply
    458,862.80x = 686,911.80 × 409,096.40
  4. Step 4: Simplify right side
    458,862.80x = 281,013,144,497.52
  5. Step 5: Solve for x
    x = 281,013,144,497.52/458,862.80
  6. Step 6: Final answer
    x = 612,412.13

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Why These Related Problems?

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