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Finding the Fourth Proportional to 545,658.80, 820,237.80 and 388,972.40

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Solution

The fourth proportional to 545,658.80, 820,237.80 and 388,972.40 is: 584,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,658.80 : 820,237.80 = 388,972.40 : x
  2. Step 2: Convert to fraction form
    545,658.80/820,237.80 = 388,972.40/x
  3. Step 3: Cross multiply
    545,658.80x = 820,237.80 × 388,972.40
  4. Step 4: Simplify right side
    545,658.80x = 319,049,865,636.72
  5. Step 5: Solve for x
    x = 319,049,865,636.72/545,658.80
  6. Step 6: Final answer
    x = 584,705.80

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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.