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Finding the Fourth Proportional to 477,200.16, 715,275.28 and 196,564.32

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Solution

The fourth proportional to 477,200.16, 715,275.28 and 196,564.32 is: 294,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,200.16 : 715,275.28 = 196,564.32 : x
  2. Step 2: Convert to fraction form
    477,200.16/715,275.28 = 196,564.32/x
  3. Step 3: Cross multiply
    477,200.16x = 715,275.28 × 196,564.32
  4. Step 4: Simplify right side
    477,200.16x = 140,597,599,026.01
  5. Step 5: Solve for x
    x = 140,597,599,026.01/477,200.16
  6. Step 6: Final answer
    x = 294,630.24

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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.