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Finding the Fourth Proportional to 359,724, 496,419.12 and 200,748

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Solution

The fourth proportional to 359,724, 496,419.12 and 200,748 is: 277,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,724 : 496,419.12 = 200,748 : x
  2. Step 2: Convert to fraction form
    359,724/496,419.12 = 200,748/x
  3. Step 3: Cross multiply
    359,724x = 496,419.12 × 200,748
  4. Step 4: Simplify right side
    359,724x = 99,655,145,501.76
  5. Step 5: Solve for x
    x = 99,655,145,501.76/359,724
  6. Step 6: Final answer
    x = 277,032.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.