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Finding the Fourth Proportional to 510,332.84, 765,501.32 and 206,732.74

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Solution

The fourth proportional to 510,332.84, 765,501.32 and 206,732.74 is: 310,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,332.84 : 765,501.32 = 206,732.74 : x
  2. Step 2: Convert to fraction form
    510,332.84/765,501.32 = 206,732.74/x
  3. Step 3: Cross multiply
    510,332.84x = 765,501.32 × 206,732.74
  4. Step 4: Simplify right side
    510,332.84x = 158,254,181,529.71
  5. Step 5: Solve for x
    x = 158,254,181,529.71/510,332.84
  6. Step 6: Final answer
    x = 310,099.94

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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.