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Finding the Fourth Proportional to 586,868.40, 880,083.90 and 408,846.60

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Solution

The fourth proportional to 586,868.40, 880,083.90 and 408,846.60 is: 613,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,868.40 : 880,083.90 = 408,846.60 : x
  2. Step 2: Convert to fraction form
    586,868.40/880,083.90 = 408,846.60/x
  3. Step 3: Cross multiply
    586,868.40x = 880,083.90 × 408,846.60
  4. Step 4: Simplify right side
    586,868.40x = 359,819,310,229.74
  5. Step 5: Solve for x
    x = 359,819,310,229.74/586,868.40
  6. Step 6: Final answer
    x = 613,117.54

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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.