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Finding the Fourth Proportional to 506,046.52, 759,043.86 and 151,063.48

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Solution

The fourth proportional to 506,046.52, 759,043.86 and 151,063.48 is: 226,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,046.52 : 759,043.86 = 151,063.48 : x
  2. Step 2: Convert to fraction form
    506,046.52/759,043.86 = 151,063.48/x
  3. Step 3: Cross multiply
    506,046.52x = 759,043.86 × 151,063.48
  4. Step 4: Simplify right side
    506,046.52x = 114,663,806,964.23
  5. Step 5: Solve for x
    x = 114,663,806,964.23/506,046.52
  6. Step 6: Final answer
    x = 226,587.48

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Why These Related Problems?

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