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Finding the Fourth Proportional to 506,256.48, 759,391.20 and 151,189.20

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Solution

The fourth proportional to 506,256.48, 759,391.20 and 151,189.20 is: 226,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,256.48 : 759,391.20 = 151,189.20 : x
  2. Step 2: Convert to fraction form
    506,256.48/759,391.20 = 151,189.20/x
  3. Step 3: Cross multiply
    506,256.48x = 759,391.20 × 151,189.20
  4. Step 4: Simplify right side
    506,256.48x = 114,811,748,015.04
  5. Step 5: Solve for x
    x = 114,811,748,015.04/506,256.48
  6. Step 6: Final answer
    x = 226,785.74

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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.