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Finding the Fourth Proportional to 409,551.08, 564,670.50 and 341,666.60

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Solution

The fourth proportional to 409,551.08, 564,670.50 and 341,666.60 is: 471,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,551.08 : 564,670.50 = 341,666.60 : x
  2. Step 2: Convert to fraction form
    409,551.08/564,670.50 = 341,666.60/x
  3. Step 3: Cross multiply
    409,551.08x = 564,670.50 × 341,666.60
  4. Step 4: Simplify right side
    409,551.08x = 192,929,049,855.30
  5. Step 5: Solve for x
    x = 192,929,049,855.30/409,551.08
  6. Step 6: Final answer
    x = 471,074.45

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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.