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Finding the Fourth Proportional to 307,574.82, 461,359.40 and 97,212.87

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Solution

The fourth proportional to 307,574.82, 461,359.40 and 97,212.87 is: 145,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574.82 : 461,359.40 = 97,212.87 : x
  2. Step 2: Convert to fraction form
    307,574.82/461,359.40 = 97,212.87/x
  3. Step 3: Cross multiply
    307,574.82x = 461,359.40 × 97,212.87
  4. Step 4: Simplify right side
    307,574.82x = 44,850,070,889.41
  5. Step 5: Solve for x
    x = 44,850,070,889.41/307,574.82
  6. Step 6: Final answer
    x = 145,818.41

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1.5x scale

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.