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Finding the Fourth Proportional to 507,083.68, 699,748.84 and 277,597

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Solution

The fourth proportional to 507,083.68, 699,748.84 and 277,597 is: 383,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,083.68 : 699,748.84 = 277,597 : x
  2. Step 2: Convert to fraction form
    507,083.68/699,748.84 = 277,597/x
  3. Step 3: Cross multiply
    507,083.68x = 699,748.84 × 277,597
  4. Step 4: Simplify right side
    507,083.68x = 194,248,178,737.48
  5. Step 5: Solve for x
    x = 194,248,178,737.48/507,083.68
  6. Step 6: Final answer
    x = 383,069.28

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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.