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Finding the Fourth Proportional to 462,958.39, 693,643.90 and 310,870.39

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Solution

The fourth proportional to 462,958.39, 693,643.90 and 310,870.39 is: 465,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,958.39 : 693,643.90 = 310,870.39 : x
  2. Step 2: Convert to fraction form
    462,958.39/693,643.90 = 310,870.39/x
  3. Step 3: Cross multiply
    462,958.39x = 693,643.90 × 310,870.39
  4. Step 4: Simplify right side
    462,958.39x = 215,633,349,714.12
  5. Step 5: Solve for x
    x = 215,633,349,714.12/462,958.39
  6. Step 6: Final answer
    x = 465,772.64

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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.