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Finding the Fourth Proportional to 377,535.64, 566,302.88 and 258,847.16

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Solution

The fourth proportional to 377,535.64, 566,302.88 and 258,847.16 is: 388,270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,535.64 : 566,302.88 = 258,847.16 : x
  2. Step 2: Convert to fraction form
    377,535.64/566,302.88 = 258,847.16/x
  3. Step 3: Cross multiply
    377,535.64x = 566,302.88 × 258,847.16
  4. Step 4: Simplify right side
    377,535.64x = 146,585,892,187.82
  5. Step 5: Solve for x
    x = 146,585,892,187.82/377,535.64
  6. Step 6: Final answer
    x = 388,270.34

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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.