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Finding the Fourth Proportional to 303,397.12, 455,160.48 and 116,407

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Solution

The fourth proportional to 303,397.12, 455,160.48 and 116,407 is: 174,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,397.12 : 455,160.48 = 116,407 : x
  2. Step 2: Convert to fraction form
    303,397.12/455,160.48 = 116,407/x
  3. Step 3: Cross multiply
    303,397.12x = 455,160.48 × 116,407
  4. Step 4: Simplify right side
    303,397.12x = 52,983,865,995.36
  5. Step 5: Solve for x
    x = 52,983,865,995.36/303,397.12
  6. Step 6: Final answer
    x = 174,635.36

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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.