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Finding the Fourth Proportional to 478,249.80, 716,587.32 and 334,170.24

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Solution

The fourth proportional to 478,249.80, 716,587.32 and 334,170.24 is: 500,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,249.80 : 716,587.32 = 334,170.24 : x
  2. Step 2: Convert to fraction form
    478,249.80/716,587.32 = 334,170.24/x
  3. Step 3: Cross multiply
    478,249.80x = 716,587.32 × 334,170.24
  4. Step 4: Simplify right side
    478,249.80x = 239,462,156,705.36
  5. Step 5: Solve for x
    x = 239,462,156,705.36/478,249.80
  6. Step 6: Final answer
    x = 500,705.19

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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.