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Finding the Fourth Proportional to 277,417.51, 382,487.61 and 226,378.40

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Solution

The fourth proportional to 277,417.51, 382,487.61 and 226,378.40 is: 312,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,417.51 : 382,487.61 = 226,378.40 : x
  2. Step 2: Convert to fraction form
    277,417.51/382,487.61 = 226,378.40/x
  3. Step 3: Cross multiply
    277,417.51x = 382,487.61 × 226,378.40
  4. Step 4: Simplify right side
    277,417.51x = 86,586,932,108.10
  5. Step 5: Solve for x
    x = 86,586,932,108.10/277,417.51
  6. Step 6: Final answer
    x = 312,117.76

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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.