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Finding the Fourth Proportional to 339,518.44, 506,785.49 and 314,497

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Solution

The fourth proportional to 339,518.44, 506,785.49 and 314,497 is: 469,437.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,518.44 : 506,785.49 = 314,497 : x
  2. Step 2: Convert to fraction form
    339,518.44/506,785.49 = 314,497/x
  3. Step 3: Cross multiply
    339,518.44x = 506,785.49 × 314,497
  4. Step 4: Simplify right side
    339,518.44x = 159,382,516,248.53
  5. Step 5: Solve for x
    x = 159,382,516,248.53/339,518.44
  6. Step 6: Final answer
    x = 469,437.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.