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Finding the Fourth Proportional to 504,207.50, 695,813.64 and 277,853

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Solution

The fourth proportional to 504,207.50, 695,813.64 and 277,853 is: 383,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,207.50 : 695,813.64 = 277,853 : x
  2. Step 2: Convert to fraction form
    504,207.50/695,813.64 = 277,853/x
  3. Step 3: Cross multiply
    504,207.50x = 695,813.64 × 277,853
  4. Step 4: Simplify right side
    504,207.50x = 193,333,907,314.92
  5. Step 5: Solve for x
    x = 193,333,907,314.92/504,207.50
  6. Step 6: Final answer
    x = 383,441.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.