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Finding the Fourth Proportional to 288,000.60, 432,519.30 and 209,203.80

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Solution

The fourth proportional to 288,000.60, 432,519.30 and 209,203.80 is: 314,182.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.60 : 432,519.30 = 209,203.80 : x
  2. Step 2: Convert to fraction form
    288,000.60/432,519.30 = 209,203.80/x
  3. Step 3: Cross multiply
    288,000.60x = 432,519.30 × 209,203.80
  4. Step 4: Simplify right side
    288,000.60x = 90,484,681,133.34
  5. Step 5: Solve for x
    x = 90,484,681,133.34/288,000.60
  6. Step 6: Final answer
    x = 314,182.27

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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.