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Finding the Fourth Proportional to 504,217, 695,834.05 and 277,877.08

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Solution

The fourth proportional to 504,217, 695,834.05 and 277,877.08 is: 383,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,217 : 695,834.05 = 277,877.08 : x
  2. Step 2: Convert to fraction form
    504,217/695,834.05 = 277,877.08/x
  3. Step 3: Cross multiply
    504,217x = 695,834.05 × 277,877.08
  4. Step 4: Simplify right side
    504,217x = 193,356,333,978.57
  5. Step 5: Solve for x
    x = 193,356,333,978.57/504,217
  6. Step 6: Final answer
    x = 383,478.41

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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.