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Finding the Fourth Proportional to 507,805.92, 761,815.68 and 192,255.84

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Solution

The fourth proportional to 507,805.92, 761,815.68 and 192,255.84 is: 288,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,805.92 : 761,815.68 = 192,255.84 : x
  2. Step 2: Convert to fraction form
    507,805.92/761,815.68 = 192,255.84/x
  3. Step 3: Cross multiply
    507,805.92x = 761,815.68 × 192,255.84
  4. Step 4: Simplify right side
    507,805.92x = 146,463,513,483.57
  5. Step 5: Solve for x
    x = 146,463,513,483.57/507,805.92
  6. Step 6: Final answer
    x = 288,424.19

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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.