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Finding the Fourth Proportional to 463,968.70, 640,330.12 and 260,074.78

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Solution

The fourth proportional to 463,968.70, 640,330.12 and 260,074.78 is: 358,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,968.70 : 640,330.12 = 260,074.78 : x
  2. Step 2: Convert to fraction form
    463,968.70/640,330.12 = 260,074.78/x
  3. Step 3: Cross multiply
    463,968.70x = 640,330.12 × 260,074.78
  4. Step 4: Simplify right side
    463,968.70x = 166,533,715,086.37
  5. Step 5: Solve for x
    x = 166,533,715,086.37/463,968.70
  6. Step 6: Final answer
    x = 358,933.08

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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.