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Finding the Fourth Proportional to 307,972.04, 461,105.94 and 157,888.76

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Solution

The fourth proportional to 307,972.04, 461,105.94 and 157,888.76 is: 236,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,972.04 : 461,105.94 = 157,888.76 : x
  2. Step 2: Convert to fraction form
    307,972.04/461,105.94 = 157,888.76/x
  3. Step 3: Cross multiply
    307,972.04x = 461,105.94 × 157,888.76
  4. Step 4: Simplify right side
    307,972.04x = 72,803,445,095.23
  5. Step 5: Solve for x
    x = 72,803,445,095.23/307,972.04
  6. Step 6: Final answer
    x = 236,396.28

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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.