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Finding the Fourth Proportional to 459,085.80, 688,628.70 and 159,466.80

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Solution

The fourth proportional to 459,085.80, 688,628.70 and 159,466.80 is: 239,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,085.80 : 688,628.70 = 159,466.80 : x
  2. Step 2: Convert to fraction form
    459,085.80/688,628.70 = 159,466.80/x
  3. Step 3: Cross multiply
    459,085.80x = 688,628.70 × 159,466.80
  4. Step 4: Simplify right side
    459,085.80x = 109,813,415,177.16
  5. Step 5: Solve for x
    x = 109,813,415,177.16/459,085.80
  6. Step 6: Final answer
    x = 239,200.20

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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.