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Finding the Fourth Proportional to 397,327.95, 596,256.95 and 144,608.37

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Solution

The fourth proportional to 397,327.95, 596,256.95 and 144,608.37 is: 217,009.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,327.95 : 596,256.95 = 144,608.37 : x
  2. Step 2: Convert to fraction form
    397,327.95/596,256.95 = 144,608.37/x
  3. Step 3: Cross multiply
    397,327.95x = 596,256.95 × 144,608.37
  4. Step 4: Simplify right side
    397,327.95x = 86,223,746,306.75
  5. Step 5: Solve for x
    x = 86,223,746,306.75/397,327.95
  6. Step 6: Final answer
    x = 217,009.01

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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.