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Finding the Fourth Proportional to 459,809.48, 689,718.09 and 160,289.51

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Solution

The fourth proportional to 459,809.48, 689,718.09 and 160,289.51 is: 240,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,809.48 : 689,718.09 = 160,289.51 : x
  2. Step 2: Convert to fraction form
    459,809.48/689,718.09 = 160,289.51/x
  3. Step 3: Cross multiply
    459,809.48x = 689,718.09 × 160,289.51
  4. Step 4: Simplify right side
    459,809.48x = 110,554,571,836.73
  5. Step 5: Solve for x
    x = 110,554,571,836.73/459,809.48
  6. Step 6: Final answer
    x = 240,435.61

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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.