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Finding the Fourth Proportional to 518,790.63, 715,809.18 and 314,837

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Solution

The fourth proportional to 518,790.63, 715,809.18 and 314,837 is: 434,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,790.63 : 715,809.18 = 314,837 : x
  2. Step 2: Convert to fraction form
    518,790.63/715,809.18 = 314,837/x
  3. Step 3: Cross multiply
    518,790.63x = 715,809.18 × 314,837
  4. Step 4: Simplify right side
    518,790.63x = 225,363,214,803.66
  5. Step 5: Solve for x
    x = 225,363,214,803.66/518,790.63
  6. Step 6: Final answer
    x = 434,401.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.