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Finding the Fourth Proportional to 475,432.93, 656,117.78 and 284,409.42

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Solution

The fourth proportional to 475,432.93, 656,117.78 and 284,409.42 is: 392,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,432.93 : 656,117.78 = 284,409.42 : x
  2. Step 2: Convert to fraction form
    475,432.93/656,117.78 = 284,409.42/x
  3. Step 3: Cross multiply
    475,432.93x = 656,117.78 × 284,409.42
  4. Step 4: Simplify right side
    475,432.93x = 186,606,077,261.49
  5. Step 5: Solve for x
    x = 186,606,077,261.49/475,432.93
  6. Step 6: Final answer
    x = 392,497.17

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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.