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Finding the Fourth Proportional to 589,312.70, 884,033.85 and 215,416.70

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Solution

The fourth proportional to 589,312.70, 884,033.85 and 215,416.70 is: 323,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,312.70 : 884,033.85 = 215,416.70 : x
  2. Step 2: Convert to fraction form
    589,312.70/884,033.85 = 215,416.70/x
  3. Step 3: Cross multiply
    589,312.70x = 884,033.85 × 215,416.70
  4. Step 4: Simplify right side
    589,312.70x = 190,435,654,655.30
  5. Step 5: Solve for x
    x = 190,435,654,655.30/589,312.70
  6. Step 6: Final answer
    x = 323,148.74

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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.