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Finding the Fourth Proportional to 233,679.84, 350,416.08 and 144,929.76

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Solution

The fourth proportional to 233,679.84, 350,416.08 and 144,929.76 is: 217,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,679.84 : 350,416.08 = 144,929.76 : x
  2. Step 2: Convert to fraction form
    233,679.84/350,416.08 = 144,929.76/x
  3. Step 3: Cross multiply
    233,679.84x = 350,416.08 × 144,929.76
  4. Step 4: Simplify right side
    233,679.84x = 50,785,718,374.54
  5. Step 5: Solve for x
    x = 50,785,718,374.54/233,679.84
  6. Step 6: Final answer
    x = 217,330.34

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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.