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Finding the Fourth Proportional to 507,016.60, 760,524.90 and 133,077.40

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Solution

The fourth proportional to 507,016.60, 760,524.90 and 133,077.40 is: 199,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,016.60 : 760,524.90 = 133,077.40 : x
  2. Step 2: Convert to fraction form
    507,016.60/760,524.90 = 133,077.40/x
  3. Step 3: Cross multiply
    507,016.60x = 760,524.90 × 133,077.40
  4. Step 4: Simplify right side
    507,016.60x = 101,208,676,327.26
  5. Step 5: Solve for x
    x = 101,208,676,327.26/507,016.60
  6. Step 6: Final answer
    x = 199,616.10

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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.