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Finding the Fourth Proportional to 315,511.23, 435,423.15 and 172,284.60

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Solution

The fourth proportional to 315,511.23, 435,423.15 and 172,284.60 is: 237,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,511.23 : 435,423.15 = 172,284.60 : x
  2. Step 2: Convert to fraction form
    315,511.23/435,423.15 = 172,284.60/x
  3. Step 3: Cross multiply
    315,511.23x = 435,423.15 × 172,284.60
  4. Step 4: Simplify right side
    315,511.23x = 75,016,703,228.49
  5. Step 5: Solve for x
    x = 75,016,703,228.49/315,511.23
  6. Step 6: Final answer
    x = 237,762.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.