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Finding the Fourth Proportional to 261,138.81, 358,024.64 and 256,414.89

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Solution

The fourth proportional to 261,138.81, 358,024.64 and 256,414.89 is: 351,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,138.81 : 358,024.64 = 256,414.89 : x
  2. Step 2: Convert to fraction form
    261,138.81/358,024.64 = 256,414.89/x
  3. Step 3: Cross multiply
    261,138.81x = 358,024.64 × 256,414.89
  4. Step 4: Simplify right side
    261,138.81x = 91,802,847,400.82
  5. Step 5: Solve for x
    x = 91,802,847,400.82/261,138.81
  6. Step 6: Final answer
    x = 351,548.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.