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Finding the Fourth Proportional to 384,747.40, 577,121.10 and 233,188.30

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Solution

The fourth proportional to 384,747.40, 577,121.10 and 233,188.30 is: 349,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,747.40 : 577,121.10 = 233,188.30 : x
  2. Step 2: Convert to fraction form
    384,747.40/577,121.10 = 233,188.30/x
  3. Step 3: Cross multiply
    384,747.40x = 577,121.10 × 233,188.30
  4. Step 4: Simplify right side
    384,747.40x = 134,577,888,203.13
  5. Step 5: Solve for x
    x = 134,577,888,203.13/384,747.40
  6. Step 6: Final answer
    x = 349,782.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.