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Finding the Fourth Proportional to 377,884.70, 566,491.71 and 153,411.02

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Solution

The fourth proportional to 377,884.70, 566,491.71 and 153,411.02 is: 229,980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,884.70 : 566,491.71 = 153,411.02 : x
  2. Step 2: Convert to fraction form
    377,884.70/566,491.71 = 153,411.02/x
  3. Step 3: Cross multiply
    377,884.70x = 566,491.71 × 153,411.02
  4. Step 4: Simplify right side
    377,884.70x = 86,906,071,052.64
  5. Step 5: Solve for x
    x = 86,906,071,052.64/377,884.70
  6. Step 6: Final answer
    x = 229,980.39

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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.