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Finding the Fourth Proportional to 510,538.55, 704,531.54 and 319,657.19

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Solution

The fourth proportional to 510,538.55, 704,531.54 and 319,657.19 is: 441,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,538.55 : 704,531.54 = 319,657.19 : x
  2. Step 2: Convert to fraction form
    510,538.55/704,531.54 = 319,657.19/x
  3. Step 3: Cross multiply
    510,538.55x = 704,531.54 × 319,657.19
  4. Step 4: Simplify right side
    510,538.55x = 225,208,570,744.49
  5. Step 5: Solve for x
    x = 225,208,570,744.49/510,538.55
  6. Step 6: Final answer
    x = 441,119.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.