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Finding the Fourth Proportional to 475,233.95, 713,010.08 and 155,400.57

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Solution

The fourth proportional to 475,233.95, 713,010.08 and 155,400.57 is: 233,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,233.95 : 713,010.08 = 155,400.57 : x
  2. Step 2: Convert to fraction form
    475,233.95/713,010.08 = 155,400.57/x
  3. Step 3: Cross multiply
    475,233.95x = 713,010.08 × 155,400.57
  4. Step 4: Simplify right side
    475,233.95x = 110,802,173,236.25
  5. Step 5: Solve for x
    x = 110,802,173,236.25/475,233.95
  6. Step 6: Final answer
    x = 233,152.90

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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.