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Finding the Fourth Proportional to 460,302.88, 690,462.96 and 127,887.52

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Solution

The fourth proportional to 460,302.88, 690,462.96 and 127,887.52 is: 191,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,302.88 : 690,462.96 = 127,887.52 : x
  2. Step 2: Convert to fraction form
    460,302.88/690,462.96 = 127,887.52/x
  3. Step 3: Cross multiply
    460,302.88x = 690,462.96 × 127,887.52
  4. Step 4: Simplify right side
    460,302.88x = 88,301,591,514.51
  5. Step 5: Solve for x
    x = 88,301,591,514.51/460,302.88
  6. Step 6: Final answer
    x = 191,833.67

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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.