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Finding the Fourth Proportional to 459,777.29, 689,665.32 and 144,258.80

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Solution

The fourth proportional to 459,777.29, 689,665.32 and 144,258.80 is: 216,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,777.29 : 689,665.32 = 144,258.80 : x
  2. Step 2: Convert to fraction form
    459,777.29/689,665.32 = 144,258.80/x
  3. Step 3: Cross multiply
    459,777.29x = 689,665.32 × 144,258.80
  4. Step 4: Simplify right side
    459,777.29x = 99,490,288,016.49
  5. Step 5: Solve for x
    x = 99,490,288,016.49/459,777.29
  6. Step 6: Final answer
    x = 216,388.00

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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.