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Finding the Fourth Proportional to 532,101.42, 734,316.17 and 302,691.95

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Solution

The fourth proportional to 532,101.42, 734,316.17 and 302,691.95 is: 417,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,101.42 : 734,316.17 = 302,691.95 : x
  2. Step 2: Convert to fraction form
    532,101.42/734,316.17 = 302,691.95/x
  3. Step 3: Cross multiply
    532,101.42x = 734,316.17 × 302,691.95
  4. Step 4: Simplify right side
    532,101.42x = 222,271,590,982.48
  5. Step 5: Solve for x
    x = 222,271,590,982.48/532,101.42
  6. Step 6: Final answer
    x = 417,724.11

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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.