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Finding the Fourth Proportional to 471,963.36, 651,301.92 and 257,106

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Solution

The fourth proportional to 471,963.36, 651,301.92 and 257,106 is: 354,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,963.36 : 651,301.92 = 257,106 : x
  2. Step 2: Convert to fraction form
    471,963.36/651,301.92 = 257,106/x
  3. Step 3: Cross multiply
    471,963.36x = 651,301.92 × 257,106
  4. Step 4: Simplify right side
    471,963.36x = 167,453,631,443.52
  5. Step 5: Solve for x
    x = 167,453,631,443.52/471,963.36
  6. Step 6: Final answer
    x = 354,802.19

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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.