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Finding the Fourth Proportional to 471,970.90, 651,313.96 and 257,106.34

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Solution

The fourth proportional to 471,970.90, 651,313.96 and 257,106.34 is: 354,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.90 : 651,313.96 = 257,106.34 : x
  2. Step 2: Convert to fraction form
    471,970.90/651,313.96 = 257,106.34/x
  3. Step 3: Cross multiply
    471,970.90x = 651,313.96 × 257,106.34
  4. Step 4: Simplify right side
    471,970.90x = 167,456,948,446.51
  5. Step 5: Solve for x
    x = 167,456,948,446.51/471,970.90
  6. Step 6: Final answer
    x = 354,803.54

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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.