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Finding the Fourth Proportional to 296,047.71, 408,548.15 and 163,444.65

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Solution

The fourth proportional to 296,047.71, 408,548.15 and 163,444.65 is: 225,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047.71 : 408,548.15 = 163,444.65 : x
  2. Step 2: Convert to fraction form
    296,047.71/408,548.15 = 163,444.65/x
  3. Step 3: Cross multiply
    296,047.71x = 408,548.15 × 163,444.65
  4. Step 4: Simplify right side
    296,047.71x = 66,775,009,384.90
  5. Step 5: Solve for x
    x = 66,775,009,384.90/296,047.71
  6. Step 6: Final answer
    x = 225,554.89

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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.