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Finding the Fourth Proportional to 340,430.83, 469,723.35 and 197,182.33

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Solution

The fourth proportional to 340,430.83, 469,723.35 and 197,182.33 is: 272,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,430.83 : 469,723.35 = 197,182.33 : x
  2. Step 2: Convert to fraction form
    340,430.83/469,723.35 = 197,182.33/x
  3. Step 3: Cross multiply
    340,430.83x = 469,723.35 × 197,182.33
  4. Step 4: Simplify right side
    340,430.83x = 92,621,144,608.41
  5. Step 5: Solve for x
    x = 92,621,144,608.41/340,430.83
  6. Step 6: Final answer
    x = 272,070.38

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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.