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Finding the Fourth Proportional to 502,457.77, 753,262.91 and 217,934.03

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Solution

The fourth proportional to 502,457.77, 753,262.91 and 217,934.03 is: 326,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,457.77 : 753,262.91 = 217,934.03 : x
  2. Step 2: Convert to fraction form
    502,457.77/753,262.91 = 217,934.03/x
  3. Step 3: Cross multiply
    502,457.77x = 753,262.91 × 217,934.03
  4. Step 4: Simplify right side
    502,457.77x = 164,161,617,859.51
  5. Step 5: Solve for x
    x = 164,161,617,859.51/502,457.77
  6. Step 6: Final answer
    x = 326,717.25

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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.