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Finding the Fourth Proportional to 493,164, 680,527.54 and 302,151.42

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Solution

The fourth proportional to 493,164, 680,527.54 and 302,151.42 is: 416,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,164 : 680,527.54 = 302,151.42 : x
  2. Step 2: Convert to fraction form
    493,164/680,527.54 = 302,151.42/x
  3. Step 3: Cross multiply
    493,164x = 680,527.54 × 302,151.42
  4. Step 4: Simplify right side
    493,164x = 205,622,362,560.11
  5. Step 5: Solve for x
    x = 205,622,362,560.11/493,164
  6. Step 6: Final answer
    x = 416,945.20

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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.