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Finding the Fourth Proportional to 448,616.86, 672,211.32 and 313,935.93

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Solution

The fourth proportional to 448,616.86, 672,211.32 and 313,935.93 is: 470,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,616.86 : 672,211.32 = 313,935.93 : x
  2. Step 2: Convert to fraction form
    448,616.86/672,211.32 = 313,935.93/x
  3. Step 3: Cross multiply
    448,616.86x = 672,211.32 × 313,935.93
  4. Step 4: Simplify right side
    448,616.86x = 211,031,286,293.15
  5. Step 5: Solve for x
    x = 211,031,286,293.15/448,616.86
  6. Step 6: Final answer
    x = 470,404.27

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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.