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Finding the Fourth Proportional to 432,859.60, 649,289.40 and 313,973.20

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Solution

The fourth proportional to 432,859.60, 649,289.40 and 313,973.20 is: 470,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,859.60 : 649,289.40 = 313,973.20 : x
  2. Step 2: Convert to fraction form
    432,859.60/649,289.40 = 313,973.20/x
  3. Step 3: Cross multiply
    432,859.60x = 649,289.40 × 313,973.20
  4. Step 4: Simplify right side
    432,859.60x = 203,859,470,644.08
  5. Step 5: Solve for x
    x = 203,859,470,644.08/432,859.60
  6. Step 6: Final answer
    x = 470,959.80

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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.