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Finding the Fourth Proportional to 349,822, 524,821.56 and 100,504

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Solution

The fourth proportional to 349,822, 524,821.56 and 100,504 is: 150,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,822 : 524,821.56 = 100,504 : x
  2. Step 2: Convert to fraction form
    349,822/524,821.56 = 100,504/x
  3. Step 3: Cross multiply
    349,822x = 524,821.56 × 100,504
  4. Step 4: Simplify right side
    349,822x = 52,746,666,066.24
  5. Step 5: Solve for x
    x = 52,746,666,066.24/349,822
  6. Step 6: Final answer
    x = 150,781.44

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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.