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Finding the Fourth Proportional to 507,851.60, 761,784.92 and 192,223.76

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Solution

The fourth proportional to 507,851.60, 761,784.92 and 192,223.76 is: 288,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,851.60 : 761,784.92 = 192,223.76 : x
  2. Step 2: Convert to fraction form
    507,851.60/761,784.92 = 192,223.76/x
  3. Step 3: Cross multiply
    507,851.60x = 761,784.92 × 192,223.76
  4. Step 4: Simplify right side
    507,851.60x = 146,433,161,633.70
  5. Step 5: Solve for x
    x = 146,433,161,633.70/507,851.60
  6. Step 6: Final answer
    x = 288,338.49

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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.