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Finding the Fourth Proportional to 390,520.32, 538,896.96 and 220,744.32

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Solution

The fourth proportional to 390,520.32, 538,896.96 and 220,744.32 is: 304,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,520.32 : 538,896.96 = 220,744.32 : x
  2. Step 2: Convert to fraction form
    390,520.32/538,896.96 = 220,744.32/x
  3. Step 3: Cross multiply
    390,520.32x = 538,896.96 × 220,744.32
  4. Step 4: Simplify right side
    390,520.32x = 118,958,442,985.27
  5. Step 5: Solve for x
    x = 118,958,442,985.27/390,520.32
  6. Step 6: Final answer
    x = 304,615.25

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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.