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Finding the Fourth Proportional to 507,255.62, 761,163.48 and 282,742.45

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Solution

The fourth proportional to 507,255.62, 761,163.48 and 282,742.45 is: 424,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,255.62 : 761,163.48 = 282,742.45 : x
  2. Step 2: Convert to fraction form
    507,255.62/761,163.48 = 282,742.45/x
  3. Step 3: Cross multiply
    507,255.62x = 761,163.48 × 282,742.45
  4. Step 4: Simplify right side
    507,255.62x = 215,213,225,282.82
  5. Step 5: Solve for x
    x = 215,213,225,282.82/507,255.62
  6. Step 6: Final answer
    x = 424,269.77

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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.