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Finding the Fourth Proportional to 498,435.84, 687,828.24 and 458,311.68

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Solution

The fourth proportional to 498,435.84, 687,828.24 and 458,311.68 is: 632,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,435.84 : 687,828.24 = 458,311.68 : x
  2. Step 2: Convert to fraction form
    498,435.84/687,828.24 = 458,311.68/x
  3. Step 3: Cross multiply
    498,435.84x = 687,828.24 × 458,311.68
  4. Step 4: Simplify right side
    498,435.84x = 315,239,716,225.84
  5. Step 5: Solve for x
    x = 315,239,716,225.84/498,435.84
  6. Step 6: Final answer
    x = 632,457.96

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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.