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Finding the Fourth Proportional to 458,033.40, 687,050.10 and 316,315.80

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Solution

The fourth proportional to 458,033.40, 687,050.10 and 316,315.80 is: 474,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,033.40 : 687,050.10 = 316,315.80 : x
  2. Step 2: Convert to fraction form
    458,033.40/687,050.10 = 316,315.80/x
  3. Step 3: Cross multiply
    458,033.40x = 687,050.10 × 316,315.80
  4. Step 4: Simplify right side
    458,033.40x = 217,324,802,021.58
  5. Step 5: Solve for x
    x = 217,324,802,021.58/458,033.40
  6. Step 6: Final answer
    x = 474,473.70

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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.