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Finding the Fourth Proportional to 510,033.84, 703,994.94 and 340,267.56

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Solution

The fourth proportional to 510,033.84, 703,994.94 and 340,267.56 is: 469,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,033.84 : 703,994.94 = 340,267.56 : x
  2. Step 2: Convert to fraction form
    510,033.84/703,994.94 = 340,267.56/x
  3. Step 3: Cross multiply
    510,033.84x = 703,994.94 × 340,267.56
  4. Step 4: Simplify right side
    510,033.84x = 239,546,640,486.15
  5. Step 5: Solve for x
    x = 239,546,640,486.15/510,033.84
  6. Step 6: Final answer
    x = 469,668.13

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1.5x scale

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.