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Finding the Fourth Proportional to 349,460.40, 523,422.24 and 288,801.40

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Solution

The fourth proportional to 349,460.40, 523,422.24 and 288,801.40 is: 432,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,460.40 : 523,422.24 = 288,801.40 : x
  2. Step 2: Convert to fraction form
    349,460.40/523,422.24 = 288,801.40/x
  3. Step 3: Cross multiply
    349,460.40x = 523,422.24 × 288,801.40
  4. Step 4: Simplify right side
    349,460.40x = 151,165,073,086.03
  5. Step 5: Solve for x
    x = 151,165,073,086.03/349,460.40
  6. Step 6: Final answer
    x = 432,567.10

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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.