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Finding the Fourth Proportional to 4,673,863.95, 7,009,713.35 and 1,478,394.51

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Solution

The fourth proportional to 4,673,863.95, 7,009,713.35 and 1,478,394.51 is: 2,217,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673,863.95 : 7,009,713.35 = 1,478,394.51 : x
  2. Step 2: Convert to fraction form
    4,673,863.95/7,009,713.35 = 1,478,394.51/x
  3. Step 3: Cross multiply
    4,673,863.95x = 7,009,713.35 × 1,478,394.51
  4. Step 4: Simplify right side
    4,673,863.95x = 10,363,121,733,313.71
  5. Step 5: Solve for x
    x = 10,363,121,733,313.71/4,673,863.95
  6. Step 6: Final answer
    x = 2,217,249.33

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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.