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Finding the Fourth Proportional to 507,665.79, 760,697.58 and 187,376.82

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Solution

The fourth proportional to 507,665.79, 760,697.58 and 187,376.82 is: 280,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,665.79 : 760,697.58 = 187,376.82 : x
  2. Step 2: Convert to fraction form
    507,665.79/760,697.58 = 187,376.82/x
  3. Step 3: Cross multiply
    507,665.79x = 760,697.58 × 187,376.82
  4. Step 4: Simplify right side
    507,665.79x = 142,537,093,522.10
  5. Step 5: Solve for x
    x = 142,537,093,522.10/507,665.79
  6. Step 6: Final answer
    x = 280,769.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.