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Finding the Fourth Proportional to 968,059, 1,452,088.50 and 461,083.24

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Solution

The fourth proportional to 968,059, 1,452,088.50 and 461,083.24 is: 691,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,059 : 1,452,088.50 = 461,083.24 : x
  2. Step 2: Convert to fraction form
    968,059/1,452,088.50 = 461,083.24/x
  3. Step 3: Cross multiply
    968,059x = 1,452,088.50 × 461,083.24
  4. Step 4: Simplify right side
    968,059x = 669,533,670,346.74
  5. Step 5: Solve for x
    x = 669,533,670,346.74/968,059
  6. Step 6: Final answer
    x = 691,624.86

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