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Finding the Fourth Proportional to 584,532.60, 806,665.74 and 329,834.64

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Solution

The fourth proportional to 584,532.60, 806,665.74 and 329,834.64 is: 455,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,532.60 : 806,665.74 = 329,834.64 : x
  2. Step 2: Convert to fraction form
    584,532.60/806,665.74 = 329,834.64/x
  3. Step 3: Cross multiply
    584,532.60x = 806,665.74 × 329,834.64
  4. Step 4: Simplify right side
    584,532.60x = 266,066,303,953.23
  5. Step 5: Solve for x
    x = 266,066,303,953.23/584,532.60
  6. Step 6: Final answer
    x = 455,177.87

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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.