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Finding the Fourth Proportional to 359,528, 496,148.64 and 200,552

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Solution

The fourth proportional to 359,528, 496,148.64 and 200,552 is: 276,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,528 : 496,148.64 = 200,552 : x
  2. Step 2: Convert to fraction form
    359,528/496,148.64 = 200,552/x
  3. Step 3: Cross multiply
    359,528x = 496,148.64 × 200,552
  4. Step 4: Simplify right side
    359,528x = 99,503,602,049.28
  5. Step 5: Solve for x
    x = 99,503,602,049.28/359,528
  6. Step 6: Final answer
    x = 276,761.76

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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.