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Finding the Fourth Proportional to 504,224, 695,829.12 and 277,869.50

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Solution

The fourth proportional to 504,224, 695,829.12 and 277,869.50 is: 383,459.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,224 : 695,829.12 = 277,869.50 : x
  2. Step 2: Convert to fraction form
    504,224/695,829.12 = 277,869.50/x
  3. Step 3: Cross multiply
    504,224x = 695,829.12 × 277,869.50
  4. Step 4: Simplify right side
    504,224x = 193,349,689,659.84
  5. Step 5: Solve for x
    x = 193,349,689,659.84/504,224
  6. Step 6: Final answer
    x = 383,459.91

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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.