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Finding the Fourth Proportional to 343,141.57, 473,421.87 and 207,123.84

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Solution

The fourth proportional to 343,141.57, 473,421.87 and 207,123.84 is: 285,762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,141.57 : 473,421.87 = 207,123.84 : x
  2. Step 2: Convert to fraction form
    343,141.57/473,421.87 = 207,123.84/x
  3. Step 3: Cross multiply
    343,141.57x = 473,421.87 × 207,123.84
  4. Step 4: Simplify right side
    343,141.57x = 98,056,955,654.38
  5. Step 5: Solve for x
    x = 98,056,955,654.38/343,141.57
  6. Step 6: Final answer
    x = 285,762.39

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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.