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Finding the Fourth Proportional to 377,568, 566,352 and 155,957.76

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Solution

The fourth proportional to 377,568, 566,352 and 155,957.76 is: 233,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,568 : 566,352 = 155,957.76 : x
  2. Step 2: Convert to fraction form
    377,568/566,352 = 155,957.76/x
  3. Step 3: Cross multiply
    377,568x = 566,352 × 155,957.76
  4. Step 4: Simplify right side
    377,568x = 88,326,989,291.52
  5. Step 5: Solve for x
    x = 88,326,989,291.52/377,568
  6. Step 6: Final answer
    x = 233,936.64

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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.