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Finding the Fourth Proportional to 532,730, 735,119.14 and 300,194.80

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Solution

The fourth proportional to 532,730, 735,119.14 and 300,194.80 is: 414,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,730 : 735,119.14 = 300,194.80 : x
  2. Step 2: Convert to fraction form
    532,730/735,119.14 = 300,194.80/x
  3. Step 3: Cross multiply
    532,730x = 735,119.14 × 300,194.80
  4. Step 4: Simplify right side
    532,730x = 220,678,943,208.47
  5. Step 5: Solve for x
    x = 220,678,943,208.47/532,730
  6. Step 6: Final answer
    x = 414,241.63

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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.