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Finding the Fourth Proportional to 359,084.84, 537,937.02 and 200,833.64

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Solution

The fourth proportional to 359,084.84, 537,937.02 and 200,833.64 is: 300,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,084.84 : 537,937.02 = 200,833.64 : x
  2. Step 2: Convert to fraction form
    359,084.84/537,937.02 = 200,833.64/x
  3. Step 3: Cross multiply
    359,084.84x = 537,937.02 × 200,833.64
  4. Step 4: Simplify right side
    359,084.84x = 108,035,849,817.35
  5. Step 5: Solve for x
    x = 108,035,849,817.35/359,084.84
  6. Step 6: Final answer
    x = 300,864.41

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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.