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Finding the Fourth Proportional to 235,000.20, 352,500.30 and 209,412.30

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Solution

The fourth proportional to 235,000.20, 352,500.30 and 209,412.30 is: 314,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,000.20 : 352,500.30 = 209,412.30 : x
  2. Step 2: Convert to fraction form
    235,000.20/352,500.30 = 209,412.30/x
  3. Step 3: Cross multiply
    235,000.20x = 352,500.30 × 209,412.30
  4. Step 4: Simplify right side
    235,000.20x = 73,817,898,573.69
  5. Step 5: Solve for x
    x = 73,817,898,573.69/235,000.20
  6. Step 6: Final answer
    x = 314,118.45

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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.