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Finding the Fourth Proportional to 524,074.16, 723,224.76 and 297,732.08

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Solution

The fourth proportional to 524,074.16, 723,224.76 and 297,732.08 is: 410,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,074.16 : 723,224.76 = 297,732.08 : x
  2. Step 2: Convert to fraction form
    524,074.16/723,224.76 = 297,732.08/x
  3. Step 3: Cross multiply
    524,074.16x = 723,224.76 × 297,732.08
  4. Step 4: Simplify right side
    524,074.16x = 215,327,212,102.30
  5. Step 5: Solve for x
    x = 215,327,212,102.30/524,074.16
  6. Step 6: Final answer
    x = 410,871.64

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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.