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Finding the Fourth Proportional to 340,567.70, 469,983.53 and 197,410.77

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Solution

The fourth proportional to 340,567.70, 469,983.53 and 197,410.77 is: 272,426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,567.70 : 469,983.53 = 197,410.77 : x
  2. Step 2: Convert to fraction form
    340,567.70/469,983.53 = 197,410.77/x
  3. Step 3: Cross multiply
    340,567.70x = 469,983.53 × 197,410.77
  4. Step 4: Simplify right side
    340,567.70x = 92,779,809,557.56
  5. Step 5: Solve for x
    x = 92,779,809,557.56/340,567.70
  6. Step 6: Final answer
    x = 272,426.92

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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.