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Finding the Fourth Proportional to 584,900.48, 807,123.97 and 339,863.51

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Solution

The fourth proportional to 584,900.48, 807,123.97 and 339,863.51 is: 468,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,900.48 : 807,123.97 = 339,863.51 : x
  2. Step 2: Convert to fraction form
    584,900.48/807,123.97 = 339,863.51/x
  3. Step 3: Cross multiply
    584,900.48x = 807,123.97 × 339,863.51
  4. Step 4: Simplify right side
    584,900.48x = 274,311,985,449.34
  5. Step 5: Solve for x
    x = 274,311,985,449.34/584,900.48
  6. Step 6: Final answer
    x = 468,989.16

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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.