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Finding the Fourth Proportional to 523,001.94, 784,923.30 and 270,356.76

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Solution

The fourth proportional to 523,001.94, 784,923.30 and 270,356.76 is: 405,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,001.94 : 784,923.30 = 270,356.76 : x
  2. Step 2: Convert to fraction form
    523,001.94/784,923.30 = 270,356.76/x
  3. Step 3: Cross multiply
    523,001.94x = 784,923.30 × 270,356.76
  4. Step 4: Simplify right side
    523,001.94x = 212,209,320,236.51
  5. Step 5: Solve for x
    x = 212,209,320,236.51/523,001.94
  6. Step 6: Final answer
    x = 405,752.45

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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.