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Finding the Fourth Proportional to 461,176.47, 687,179.94 and 410,870.01

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Solution

The fourth proportional to 461,176.47, 687,179.94 and 410,870.01 is: 612,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,176.47 : 687,179.94 = 410,870.01 : x
  2. Step 2: Convert to fraction form
    461,176.47/687,179.94 = 410,870.01/x
  3. Step 3: Cross multiply
    461,176.47x = 687,179.94 × 410,870.01
  4. Step 4: Simplify right side
    461,176.47x = 282,341,628,819.60
  5. Step 5: Solve for x
    x = 282,341,628,819.60/461,176.47
  6. Step 6: Final answer
    x = 612,220.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.