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Finding the Fourth Proportional to 566,203.95, 781,383 and 324,533.16

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Solution

The fourth proportional to 566,203.95, 781,383 and 324,533.16 is: 447,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,203.95 : 781,383 = 324,533.16 : x
  2. Step 2: Convert to fraction form
    566,203.95/781,383 = 324,533.16/x
  3. Step 3: Cross multiply
    566,203.95x = 781,383 × 324,533.16
  4. Step 4: Simplify right side
    566,203.95x = 253,584,694,160.28
  5. Step 5: Solve for x
    x = 253,584,694,160.28/566,203.95
  6. Step 6: Final answer
    x = 447,868.11

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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.