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Finding the Fourth Proportional to 349,506, 524,125.78 and 124,824.48

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Solution

The fourth proportional to 349,506, 524,125.78 and 124,824.48 is: 187,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,506 : 524,125.78 = 124,824.48 : x
  2. Step 2: Convert to fraction form
    349,506/524,125.78 = 124,824.48/x
  3. Step 3: Cross multiply
    349,506x = 524,125.78 × 124,824.48
  4. Step 4: Simplify right side
    349,506x = 65,423,727,943.09
  5. Step 5: Solve for x
    x = 65,423,727,943.09/349,506
  6. Step 6: Final answer
    x = 187,189.14

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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.