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Finding the Fourth Proportional to 504,222.50, 695,827.05 and 277,868

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Solution

The fourth proportional to 504,222.50, 695,827.05 and 277,868 is: 383,457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,222.50 : 695,827.05 = 277,868 : x
  2. Step 2: Convert to fraction form
    504,222.50/695,827.05 = 277,868/x
  3. Step 3: Cross multiply
    504,222.50x = 695,827.05 × 277,868
  4. Step 4: Simplify right side
    504,222.50x = 193,348,070,729.40
  5. Step 5: Solve for x
    x = 193,348,070,729.40/504,222.50
  6. Step 6: Final answer
    x = 383,457.84

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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.