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Finding the Fourth Proportional to 261,338.31, 360,674.10 and 146,647.91

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Solution

The fourth proportional to 261,338.31, 360,674.10 and 146,647.91 is: 202,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,338.31 : 360,674.10 = 146,647.91 : x
  2. Step 2: Convert to fraction form
    261,338.31/360,674.10 = 146,647.91/x
  3. Step 3: Cross multiply
    261,338.31x = 360,674.10 × 146,647.91
  4. Step 4: Simplify right side
    261,338.31x = 52,892,103,857.82
  5. Step 5: Solve for x
    x = 52,892,103,857.82/261,338.31
  6. Step 6: Final answer
    x = 202,389.40

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1.5x scale

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.