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Finding the Fourth Proportional to 349,516.20, 523,496.70 and 287,308.20

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Solution

The fourth proportional to 349,516.20, 523,496.70 and 287,308.20 is: 430,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,516.20 : 523,496.70 = 287,308.20 : x
  2. Step 2: Convert to fraction form
    349,516.20/523,496.70 = 287,308.20/x
  3. Step 3: Cross multiply
    349,516.20x = 523,496.70 × 287,308.20
  4. Step 4: Simplify right side
    349,516.20x = 150,404,894,582.94
  5. Step 5: Solve for x
    x = 150,404,894,582.94/349,516.20
  6. Step 6: Final answer
    x = 430,323.10

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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.