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Finding the Fourth Proportional to 459,569.73, 633,760.94 and 306,614.16

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Solution

The fourth proportional to 459,569.73, 633,760.94 and 306,614.16 is: 422,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,569.73 : 633,760.94 = 306,614.16 : x
  2. Step 2: Convert to fraction form
    459,569.73/633,760.94 = 306,614.16/x
  3. Step 3: Cross multiply
    459,569.73x = 633,760.94 × 306,614.16
  4. Step 4: Simplify right side
    459,569.73x = 194,320,079,025.45
  5. Step 5: Solve for x
    x = 194,320,079,025.45/459,569.73
  6. Step 6: Final answer
    x = 422,830.45

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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.