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Finding the Fourth Proportional to 506,646.36, 699,141.24 and 277,160.40

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Solution

The fourth proportional to 506,646.36, 699,141.24 and 277,160.40 is: 382,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,646.36 : 699,141.24 = 277,160.40 : x
  2. Step 2: Convert to fraction form
    506,646.36/699,141.24 = 277,160.40/x
  3. Step 3: Cross multiply
    506,646.36x = 699,141.24 × 277,160.40
  4. Step 4: Simplify right side
    506,646.36x = 193,774,265,734.90
  5. Step 5: Solve for x
    x = 193,774,265,734.90/506,646.36
  6. Step 6: Final answer
    x = 382,464.54

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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.