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Finding the Fourth Proportional to 508,288.48, 762,438.20 and 153,305.58

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Solution

The fourth proportional to 508,288.48, 762,438.20 and 153,305.58 is: 229,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,288.48 : 762,438.20 = 153,305.58 : x
  2. Step 2: Convert to fraction form
    508,288.48/762,438.20 = 153,305.58/x
  3. Step 3: Cross multiply
    508,288.48x = 762,438.20 × 153,305.58
  4. Step 4: Simplify right side
    508,288.48x = 116,886,030,465.16
  5. Step 5: Solve for x
    x = 116,886,030,465.16/508,288.48
  6. Step 6: Final answer
    x = 229,960.02

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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.