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Finding the Fourth Proportional to 343,497.14, 473,986.65 and 198,302.34

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Solution

The fourth proportional to 343,497.14, 473,986.65 and 198,302.34 is: 273,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,497.14 : 473,986.65 = 198,302.34 : x
  2. Step 2: Convert to fraction form
    343,497.14/473,986.65 = 198,302.34/x
  3. Step 3: Cross multiply
    343,497.14x = 473,986.65 × 198,302.34
  4. Step 4: Simplify right side
    343,497.14x = 93,992,661,823.76
  5. Step 5: Solve for x
    x = 93,992,661,823.76/343,497.14
  6. Step 6: Final answer
    x = 273,634.48

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1.5x scale

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.