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Finding the Fourth Proportional to 504,209.34, 695,805.57 and 277,855.02

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Solution

The fourth proportional to 504,209.34, 695,805.57 and 277,855.02 is: 383,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,209.34 : 695,805.57 = 277,855.02 : x
  2. Step 2: Convert to fraction form
    504,209.34/695,805.57 = 277,855.02/x
  3. Step 3: Cross multiply
    504,209.34x = 695,805.57 × 277,855.02
  4. Step 4: Simplify right side
    504,209.34x = 193,333,070,568.46
  5. Step 5: Solve for x
    x = 193,333,070,568.46/504,209.34
  6. Step 6: Final answer
    x = 383,438.10

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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.