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Finding the Fourth Proportional to 491,218.56, 736,827.86 and 175,656.32

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Solution

The fourth proportional to 491,218.56, 736,827.86 and 175,656.32 is: 263,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,218.56 : 736,827.86 = 175,656.32 : x
  2. Step 2: Convert to fraction form
    491,218.56/736,827.86 = 175,656.32/x
  3. Step 3: Cross multiply
    491,218.56x = 736,827.86 × 175,656.32
  4. Step 4: Simplify right side
    491,218.56x = 129,428,470,361.08
  5. Step 5: Solve for x
    x = 129,428,470,361.08/491,218.56
  6. Step 6: Final answer
    x = 263,484.49

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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.