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Finding the Fourth Proportional to 503,903.72, 695,387.14 and 277,549.24

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Solution

The fourth proportional to 503,903.72, 695,387.14 and 277,549.24 is: 383,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,903.72 : 695,387.14 = 277,549.24 : x
  2. Step 2: Convert to fraction form
    503,903.72/695,387.14 = 277,549.24/x
  3. Step 3: Cross multiply
    503,903.72x = 695,387.14 × 277,549.24
  4. Step 4: Simplify right side
    503,903.72x = 193,004,172,212.77
  5. Step 5: Solve for x
    x = 193,004,172,212.77/503,903.72
  6. Step 6: Final answer
    x = 383,017.95

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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.