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Finding the Fourth Proportional to 343,225.76, 473,632.12 and 200,009.12

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Solution

The fourth proportional to 343,225.76, 473,632.12 and 200,009.12 is: 276,001.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,225.76 : 473,632.12 = 200,009.12 : x
  2. Step 2: Convert to fraction form
    343,225.76/473,632.12 = 200,009.12/x
  3. Step 3: Cross multiply
    343,225.76x = 473,632.12 × 200,009.12
  4. Step 4: Simplify right side
    343,225.76x = 94,730,743,524.93
  5. Step 5: Solve for x
    x = 94,730,743,524.93/343,225.76
  6. Step 6: Final answer
    x = 276,001.26

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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.