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Finding the Fourth Proportional to 510,342.48, 765,596.10 and 155,272.86

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Solution

The fourth proportional to 510,342.48, 765,596.10 and 155,272.86 is: 232,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,342.48 : 765,596.10 = 155,272.86 : x
  2. Step 2: Convert to fraction form
    510,342.48/765,596.10 = 155,272.86/x
  3. Step 3: Cross multiply
    510,342.48x = 765,596.10 × 155,272.86
  4. Step 4: Simplify right side
    510,342.48x = 118,876,296,051.85
  5. Step 5: Solve for x
    x = 118,876,296,051.85/510,342.48
  6. Step 6: Final answer
    x = 232,934.35

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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.