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Finding the Fourth Proportional to 506,756.62, 699,276.51 and 343,080.17

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Solution

The fourth proportional to 506,756.62, 699,276.51 and 343,080.17 is: 473,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,756.62 : 699,276.51 = 343,080.17 : x
  2. Step 2: Convert to fraction form
    506,756.62/699,276.51 = 343,080.17/x
  3. Step 3: Cross multiply
    506,756.62x = 699,276.51 × 343,080.17
  4. Step 4: Simplify right side
    506,756.62x = 239,907,903,927.81
  5. Step 5: Solve for x
    x = 239,907,903,927.81/506,756.62
  6. Step 6: Final answer
    x = 473,418.39

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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.