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Finding the Fourth Proportional to 471,294.08, 650,378.56 and 256,429.12

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Solution

The fourth proportional to 471,294.08, 650,378.56 and 256,429.12 is: 353,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,294.08 : 650,378.56 = 256,429.12 : x
  2. Step 2: Convert to fraction form
    471,294.08/650,378.56 = 256,429.12/x
  3. Step 3: Cross multiply
    471,294.08x = 650,378.56 × 256,429.12
  4. Step 4: Simplify right side
    471,294.08x = 166,776,001,807.67
  5. Step 5: Solve for x
    x = 166,776,001,807.67/471,294.08
  6. Step 6: Final answer
    x = 353,868.23

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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.