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Finding the Fourth Proportional to 817,953.50, 1,227,490.72 and 285,474.53

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Solution

The fourth proportional to 817,953.50, 1,227,490.72 and 285,474.53 is: 428,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,953.50 : 1,227,490.72 = 285,474.53 : x
  2. Step 2: Convert to fraction form
    817,953.50/1,227,490.72 = 285,474.53/x
  3. Step 3: Cross multiply
    817,953.50x = 1,227,490.72 × 285,474.53
  4. Step 4: Simplify right side
    817,953.50x = 350,417,334,943.99
  5. Step 5: Solve for x
    x = 350,417,334,943.99/817,953.50
  6. Step 6: Final answer
    x = 428,407.40

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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.