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Finding the Fourth Proportional to 559,546.74, 772,150.32 and 317,828.58

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Solution

The fourth proportional to 559,546.74, 772,150.32 and 317,828.58 is: 438,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,546.74 : 772,150.32 = 317,828.58 : x
  2. Step 2: Convert to fraction form
    559,546.74/772,150.32 = 317,828.58/x
  3. Step 3: Cross multiply
    559,546.74x = 772,150.32 × 317,828.58
  4. Step 4: Simplify right side
    559,546.74x = 245,411,439,752.15
  5. Step 5: Solve for x
    x = 245,411,439,752.15/559,546.74
  6. Step 6: Final answer
    x = 438,589.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.