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Finding the Fourth Proportional to 359,692.26, 496,574.19 and 216,487.50

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Solution

The fourth proportional to 359,692.26, 496,574.19 and 216,487.50 is: 298,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,692.26 : 496,574.19 = 216,487.50 : x
  2. Step 2: Convert to fraction form
    359,692.26/496,574.19 = 216,487.50/x
  3. Step 3: Cross multiply
    359,692.26x = 496,574.19 × 216,487.50
  4. Step 4: Simplify right side
    359,692.26x = 107,502,104,957.63
  5. Step 5: Solve for x
    x = 107,502,104,957.63/359,692.26
  6. Step 6: Final answer
    x = 298,872.44

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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.