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Finding the Fourth Proportional to 307,957.61, 461,946.14 and 97,597.37

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Solution

The fourth proportional to 307,957.61, 461,946.14 and 97,597.37 is: 146,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,957.61 : 461,946.14 = 97,597.37 : x
  2. Step 2: Convert to fraction form
    307,957.61/461,946.14 = 97,597.37/x
  3. Step 3: Cross multiply
    307,957.61x = 461,946.14 × 97,597.37
  4. Step 4: Simplify right side
    307,957.61x = 45,084,728,345.65
  5. Step 5: Solve for x
    x = 45,084,728,345.65/307,957.61
  6. Step 6: Final answer
    x = 146,399.14

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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.