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Finding the Fourth Proportional to 380,732.33, 525,271.57 and 227,774.90

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Solution

The fourth proportional to 380,732.33, 525,271.57 and 227,774.90 is: 314,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,732.33 : 525,271.57 = 227,774.90 : x
  2. Step 2: Convert to fraction form
    380,732.33/525,271.57 = 227,774.90/x
  3. Step 3: Cross multiply
    380,732.33x = 525,271.57 × 227,774.90
  4. Step 4: Simplify right side
    380,732.33x = 119,643,680,073.34
  5. Step 5: Solve for x
    x = 119,643,680,073.34/380,732.33
  6. Step 6: Final answer
    x = 314,246.18

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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.