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Finding the Fourth Proportional to 508,085.64, 701,267.52 and 304,182.06

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Solution

The fourth proportional to 508,085.64, 701,267.52 and 304,182.06 is: 419,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,085.64 : 701,267.52 = 304,182.06 : x
  2. Step 2: Convert to fraction form
    508,085.64/701,267.52 = 304,182.06/x
  3. Step 3: Cross multiply
    508,085.64x = 701,267.52 × 304,182.06
  4. Step 4: Simplify right side
    508,085.64x = 213,312,998,844.69
  5. Step 5: Solve for x
    x = 213,312,998,844.69/508,085.64
  6. Step 6: Final answer
    x = 419,836.70

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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.