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Finding the Fourth Proportional to 468,720.51, 646,831.09 and 253,855.66

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Solution

The fourth proportional to 468,720.51, 646,831.09 and 253,855.66 is: 350,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,720.51 : 646,831.09 = 253,855.66 : x
  2. Step 2: Convert to fraction form
    468,720.51/646,831.09 = 253,855.66/x
  3. Step 3: Cross multiply
    468,720.51x = 646,831.09 × 253,855.66
  4. Step 4: Simplify right side
    468,720.51x = 164,201,733,260.47
  5. Step 5: Solve for x
    x = 164,201,733,260.47/468,720.51
  6. Step 6: Final answer
    x = 350,319.07

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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.