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Finding the Fourth Proportional to 532,102.35, 734,316.80 and 290,400.45

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Solution

The fourth proportional to 532,102.35, 734,316.80 and 290,400.45 is: 400,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102.35 : 734,316.80 = 290,400.45 : x
  2. Step 2: Convert to fraction form
    532,102.35/734,316.80 = 290,400.45/x
  3. Step 3: Cross multiply
    532,102.35x = 734,316.80 × 290,400.45
  4. Step 4: Simplify right side
    532,102.35x = 213,245,929,162.56
  5. Step 5: Solve for x
    x = 213,245,929,162.56/532,102.35
  6. Step 6: Final answer
    x = 400,761.11

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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.