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Finding the Fourth Proportional to 284,322.79, 426,631.79 and 115,966.63

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Solution

The fourth proportional to 284,322.79, 426,631.79 and 115,966.63 is: 174,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,322.79 : 426,631.79 = 115,966.63 : x
  2. Step 2: Convert to fraction form
    284,322.79/426,631.79 = 115,966.63/x
  3. Step 3: Cross multiply
    284,322.79x = 426,631.79 × 115,966.63
  4. Step 4: Simplify right side
    284,322.79x = 49,475,050,357.33
  5. Step 5: Solve for x
    x = 49,475,050,357.33/284,322.79
  6. Step 6: Final answer
    x = 174,010.15

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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.