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Finding the Fourth Proportional to 311,259.93, 467,035.71 and 153,402.27

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Solution

The fourth proportional to 311,259.93, 467,035.71 and 153,402.27 is: 230,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,259.93 : 467,035.71 = 153,402.27 : x
  2. Step 2: Convert to fraction form
    311,259.93/467,035.71 = 153,402.27/x
  3. Step 3: Cross multiply
    311,259.93x = 467,035.71 × 153,402.27
  4. Step 4: Simplify right side
    311,259.93x = 71,644,338,085.06
  5. Step 5: Solve for x
    x = 71,644,338,085.06/311,259.93
  6. Step 6: Final answer
    x = 230,175.27

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1.5x scale

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.