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Finding the Fourth Proportional to 296,688.84, 409,503.83 and 169,438.24

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Solution

The fourth proportional to 296,688.84, 409,503.83 and 169,438.24 is: 233,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,688.84 : 409,503.83 = 169,438.24 : x
  2. Step 2: Convert to fraction form
    296,688.84/409,503.83 = 169,438.24/x
  3. Step 3: Cross multiply
    296,688.84x = 409,503.83 × 169,438.24
  4. Step 4: Simplify right side
    296,688.84x = 69,385,608,228.46
  5. Step 5: Solve for x
    x = 69,385,608,228.46/296,688.84
  6. Step 6: Final answer
    x = 233,866.59

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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.