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Finding the Fourth Proportional to 307,574.32, 461,358.65 and 97,212.37

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Solution

The fourth proportional to 307,574.32, 461,358.65 and 97,212.37 is: 145,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574.32 : 461,358.65 = 97,212.37 : x
  2. Step 2: Convert to fraction form
    307,574.32/461,358.65 = 97,212.37/x
  3. Step 3: Cross multiply
    307,574.32x = 461,358.65 × 97,212.37
  4. Step 4: Simplify right side
    307,574.32x = 44,849,767,300.44
  5. Step 5: Solve for x
    x = 44,849,767,300.44/307,574.32
  6. Step 6: Final answer
    x = 145,817.66

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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.