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Finding the Fourth Proportional to 294,410.90, 441,681.52 and 107,421.86

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Solution

The fourth proportional to 294,410.90, 441,681.52 and 107,421.86 is: 161,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,410.90 : 441,681.52 = 107,421.86 : x
  2. Step 2: Convert to fraction form
    294,410.90/441,681.52 = 107,421.86/x
  3. Step 3: Cross multiply
    294,410.90x = 441,681.52 × 107,421.86
  4. Step 4: Simplify right side
    294,410.90x = 47,446,250,406.03
  5. Step 5: Solve for x
    x = 47,446,250,406.03/294,410.90
  6. Step 6: Final answer
    x = 161,156.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.