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Finding the Fourth Proportional to 408,106.52, 612,223.16 and 208,318.80

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Solution

The fourth proportional to 408,106.52, 612,223.16 and 208,318.80 is: 312,510.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.52 : 612,223.16 = 208,318.80 : x
  2. Step 2: Convert to fraction form
    408,106.52/612,223.16 = 208,318.80/x
  3. Step 3: Cross multiply
    408,106.52x = 612,223.16 × 208,318.80
  4. Step 4: Simplify right side
    408,106.52x = 127,537,592,981.81
  5. Step 5: Solve for x
    x = 127,537,592,981.81/408,106.52
  6. Step 6: Final answer
    x = 312,510.55

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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.