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Finding the Fourth Proportional to 290,386, 399,488.52 and 277,944.40

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Solution

The fourth proportional to 290,386, 399,488.52 and 277,944.40 is: 382,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,386 : 399,488.52 = 277,944.40 : x
  2. Step 2: Convert to fraction form
    290,386/399,488.52 = 277,944.40/x
  3. Step 3: Cross multiply
    290,386x = 399,488.52 × 277,944.40
  4. Step 4: Simplify right side
    290,386x = 111,035,596,998.29
  5. Step 5: Solve for x
    x = 111,035,596,998.29/290,386
  6. Step 6: Final answer
    x = 382,372.42

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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.