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Finding the Fourth Proportional to 305,411.84, 421,454.11 and 169,444.34

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Solution

The fourth proportional to 305,411.84, 421,454.11 and 169,444.34 is: 233,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,411.84 : 421,454.11 = 169,444.34 : x
  2. Step 2: Convert to fraction form
    305,411.84/421,454.11 = 169,444.34/x
  3. Step 3: Cross multiply
    305,411.84x = 421,454.11 × 169,444.34
  4. Step 4: Simplify right side
    305,411.84x = 71,413,013,509.24
  5. Step 5: Solve for x
    x = 71,413,013,509.24/305,411.84
  6. Step 6: Final answer
    x = 233,825.29

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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.