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Finding the Fourth Proportional to 504,154.56, 695,767.01 and 277,800.06

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Solution

The fourth proportional to 504,154.56, 695,767.01 and 277,800.06 is: 383,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,154.56 : 695,767.01 = 277,800.06 : x
  2. Step 2: Convert to fraction form
    504,154.56/695,767.01 = 277,800.06/x
  3. Step 3: Cross multiply
    504,154.56x = 695,767.01 × 277,800.06
  4. Step 4: Simplify right side
    504,154.56x = 193,284,117,124.02
  5. Step 5: Solve for x
    x = 193,284,117,124.02/504,154.56
  6. Step 6: Final answer
    x = 383,382.66

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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.