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Finding the Fourth Proportional to 508,339.36, 762,514.52 and 153,356.46

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Solution

The fourth proportional to 508,339.36, 762,514.52 and 153,356.46 is: 230,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,339.36 : 762,514.52 = 153,356.46 : x
  2. Step 2: Convert to fraction form
    508,339.36/762,514.52 = 153,356.46/x
  3. Step 3: Cross multiply
    508,339.36x = 762,514.52 × 153,356.46
  4. Step 4: Simplify right side
    508,339.36x = 116,936,527,485.80
  5. Step 5: Solve for x
    x = 116,936,527,485.80/508,339.36
  6. Step 6: Final answer
    x = 230,036.34

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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.