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Finding the Fourth Proportional to 504,216, 695,818.08 and 277,861.50

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Solution

The fourth proportional to 504,216, 695,818.08 and 277,861.50 is: 383,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,216 : 695,818.08 = 277,861.50 : x
  2. Step 2: Convert to fraction form
    504,216/695,818.08 = 277,861.50/x
  3. Step 3: Cross multiply
    504,216x = 695,818.08 × 277,861.50
  4. Step 4: Simplify right side
    504,216x = 193,341,055,435.92
  5. Step 5: Solve for x
    x = 193,341,055,435.92/504,216
  6. Step 6: Final answer
    x = 383,448.87

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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.