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Finding the Fourth Proportional to 456,737.88, 685,165.14 and 176,335.32

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Solution

The fourth proportional to 456,737.88, 685,165.14 and 176,335.32 is: 264,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,737.88 : 685,165.14 = 176,335.32 : x
  2. Step 2: Convert to fraction form
    456,737.88/685,165.14 = 176,335.32/x
  3. Step 3: Cross multiply
    456,737.88x = 685,165.14 × 176,335.32
  4. Step 4: Simplify right side
    456,737.88x = 120,818,814,214.75
  5. Step 5: Solve for x
    x = 120,818,814,214.75/456,737.88
  6. Step 6: Final answer
    x = 264,525.50

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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.