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Finding the Fourth Proportional to 459,524.80, 688,509.60 and 222,356.80

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Solution

The fourth proportional to 459,524.80, 688,509.60 and 222,356.80 is: 333,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,524.80 : 688,509.60 = 222,356.80 : x
  2. Step 2: Convert to fraction form
    459,524.80/688,509.60 = 222,356.80/x
  3. Step 3: Cross multiply
    459,524.80x = 688,509.60 × 222,356.80
  4. Step 4: Simplify right side
    459,524.80x = 153,094,791,425.28
  5. Step 5: Solve for x
    x = 153,094,791,425.28/459,524.80
  6. Step 6: Final answer
    x = 333,158.93

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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.