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Finding the Fourth Proportional to 506,029.52, 759,018.36 and 151,046.48

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Solution

The fourth proportional to 506,029.52, 759,018.36 and 151,046.48 is: 226,561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,029.52 : 759,018.36 = 151,046.48 : x
  2. Step 2: Convert to fraction form
    506,029.52/759,018.36 = 151,046.48/x
  3. Step 3: Cross multiply
    506,029.52x = 759,018.36 × 151,046.48
  4. Step 4: Simplify right side
    506,029.52x = 114,647,051,533.37
  5. Step 5: Solve for x
    x = 114,647,051,533.37/506,029.52
  6. Step 6: Final answer
    x = 226,561.98

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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.