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Finding the Fourth Proportional to 310,937.40, 465,714.90 and 269,465.40

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Solution

The fourth proportional to 310,937.40, 465,714.90 and 269,465.40 is: 403,599.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,937.40 : 465,714.90 = 269,465.40 : x
  2. Step 2: Convert to fraction form
    310,937.40/465,714.90 = 269,465.40/x
  3. Step 3: Cross multiply
    310,937.40x = 465,714.90 × 269,465.40
  4. Step 4: Simplify right side
    310,937.40x = 125,494,051,814.46
  5. Step 5: Solve for x
    x = 125,494,051,814.46/310,937.40
  6. Step 6: Final answer
    x = 403,599.09

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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.