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Finding the Fourth Proportional to 369,239.64, 509,671.81 and 224,052

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Solution

The fourth proportional to 369,239.64, 509,671.81 and 224,052 is: 309,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,239.64 : 509,671.81 = 224,052 : x
  2. Step 2: Convert to fraction form
    369,239.64/509,671.81 = 224,052/x
  3. Step 3: Cross multiply
    369,239.64x = 509,671.81 × 224,052
  4. Step 4: Simplify right side
    369,239.64x = 114,192,988,374.12
  5. Step 5: Solve for x
    x = 114,192,988,374.12/369,239.64
  6. Step 6: Final answer
    x = 309,265.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.