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Finding the Fourth Proportional to 510,782.69, 766,174.04 and 240,848.01

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Solution

The fourth proportional to 510,782.69, 766,174.04 and 240,848.01 is: 361,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,782.69 : 766,174.04 = 240,848.01 : x
  2. Step 2: Convert to fraction form
    510,782.69/766,174.04 = 240,848.01/x
  3. Step 3: Cross multiply
    510,782.69x = 766,174.04 × 240,848.01
  4. Step 4: Simplify right side
    510,782.69x = 184,531,491,643.42
  5. Step 5: Solve for x
    x = 184,531,491,643.42/510,782.69
  6. Step 6: Final answer
    x = 361,272.02

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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.