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Finding the Fourth Proportional to 507,656.34, 761,580.63 and 204,074.01

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Solution

The fourth proportional to 507,656.34, 761,580.63 and 204,074.01 is: 306,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,656.34 : 761,580.63 = 204,074.01 : x
  2. Step 2: Convert to fraction form
    507,656.34/761,580.63 = 204,074.01/x
  3. Step 3: Cross multiply
    507,656.34x = 761,580.63 × 204,074.01
  4. Step 4: Simplify right side
    507,656.34x = 155,418,813,102.43
  5. Step 5: Solve for x
    x = 155,418,813,102.43/507,656.34
  6. Step 6: Final answer
    x = 306,149.65

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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.