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Finding the Fourth Proportional to 478,944.51, 718,370.11 and 194,652.10

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Solution

The fourth proportional to 478,944.51, 718,370.11 and 194,652.10 is: 291,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,944.51 : 718,370.11 = 194,652.10 : x
  2. Step 2: Convert to fraction form
    478,944.51/718,370.11 = 194,652.10/x
  3. Step 3: Cross multiply
    478,944.51x = 718,370.11 × 194,652.10
  4. Step 4: Simplify right side
    478,944.51x = 139,832,251,630.01
  5. Step 5: Solve for x
    x = 139,832,251,630.01/478,944.51
  6. Step 6: Final answer
    x = 291,959.19

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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.