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Finding the Fourth Proportional to 510,422.50, 765,665.34 and 155,462.68

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Solution

The fourth proportional to 510,422.50, 765,665.34 and 155,462.68 is: 233,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,422.50 : 765,665.34 = 155,462.68 : x
  2. Step 2: Convert to fraction form
    510,422.50/765,665.34 = 155,462.68/x
  3. Step 3: Cross multiply
    510,422.50x = 765,665.34 × 155,462.68
  4. Step 4: Simplify right side
    510,422.50x = 119,032,385,739.51
  5. Step 5: Solve for x
    x = 119,032,385,739.51/510,422.50
  6. Step 6: Final answer
    x = 233,203.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.