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Finding the Fourth Proportional to 586,319.02, 809,123.24 and 331,664.74

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Solution

The fourth proportional to 586,319.02, 809,123.24 and 331,664.74 is: 457,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,319.02 : 809,123.24 = 331,664.74 : x
  2. Step 2: Convert to fraction form
    586,319.02/809,123.24 = 331,664.74/x
  3. Step 3: Cross multiply
    586,319.02x = 809,123.24 × 331,664.74
  4. Step 4: Simplify right side
    586,319.02x = 268,357,647,828.91
  5. Step 5: Solve for x
    x = 268,357,647,828.91/586,319.02
  6. Step 6: Final answer
    x = 457,699.03

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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.