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Finding the Fourth Proportional to 397,810.88, 595,886.88 and 176,350.40

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Solution

The fourth proportional to 397,810.88, 595,886.88 and 176,350.40 is: 264,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,810.88 : 595,886.88 = 176,350.40 : x
  2. Step 2: Convert to fraction form
    397,810.88/595,886.88 = 176,350.40/x
  3. Step 3: Cross multiply
    397,810.88x = 595,886.88 × 176,350.40
  4. Step 4: Simplify right side
    397,810.88x = 105,084,889,642.75
  5. Step 5: Solve for x
    x = 105,084,889,642.75/397,810.88
  6. Step 6: Final answer
    x = 264,157.91

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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.