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Finding the Fourth Proportional to 523,571.13, 722,320.38 and 302,767.62

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Solution

The fourth proportional to 523,571.13, 722,320.38 and 302,767.62 is: 417,699.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,571.13 : 722,320.38 = 302,767.62 : x
  2. Step 2: Convert to fraction form
    523,571.13/722,320.38 = 302,767.62/x
  3. Step 3: Cross multiply
    523,571.13x = 722,320.38 × 302,767.62
  4. Step 4: Simplify right side
    523,571.13x = 218,695,222,330.10
  5. Step 5: Solve for x
    x = 218,695,222,330.10/523,571.13
  6. Step 6: Final answer
    x = 417,699.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.