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Finding the Fourth Proportional to 354,284.16, 531,523.44 and 176,576.64

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Solution

The fourth proportional to 354,284.16, 531,523.44 and 176,576.64 is: 264,913.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,284.16 : 531,523.44 = 176,576.64 : x
  2. Step 2: Convert to fraction form
    354,284.16/531,523.44 = 176,576.64/x
  3. Step 3: Cross multiply
    354,284.16x = 531,523.44 × 176,576.64
  4. Step 4: Simplify right side
    354,284.16x = 93,854,623,116.44
  5. Step 5: Solve for x
    x = 93,854,623,116.44/354,284.16
  6. Step 6: Final answer
    x = 264,913.40

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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.