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Finding the Fourth Proportional to 302,510.54, 417,456.92 and 166,543.14

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Solution

The fourth proportional to 302,510.54, 417,456.92 and 166,543.14 is: 229,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,510.54 : 417,456.92 = 166,543.14 : x
  2. Step 2: Convert to fraction form
    302,510.54/417,456.92 = 166,543.14/x
  3. Step 3: Cross multiply
    302,510.54x = 417,456.92 × 166,543.14
  4. Step 4: Simplify right side
    302,510.54x = 69,524,586,271.53
  5. Step 5: Solve for x
    x = 69,524,586,271.53/302,510.54
  6. Step 6: Final answer
    x = 229,825.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.