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Finding the Fourth Proportional to 507,082, 699,746.55 and 277,595.29

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Solution

The fourth proportional to 507,082, 699,746.55 and 277,595.29 is: 383,066.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,082 : 699,746.55 = 277,595.29 : x
  2. Step 2: Convert to fraction form
    507,082/699,746.55 = 277,595.29/x
  3. Step 3: Cross multiply
    507,082x = 699,746.55 × 277,595.29
  4. Step 4: Simplify right side
    507,082x = 194,246,346,473.75
  5. Step 5: Solve for x
    x = 194,246,346,473.75/507,082
  6. Step 6: Final answer
    x = 383,066.93

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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.