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Finding the Fourth Proportional to 432,853.20, 649,279.80 and 196,657.20

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Solution

The fourth proportional to 432,853.20, 649,279.80 and 196,657.20 is: 294,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,853.20 : 649,279.80 = 196,657.20 : x
  2. Step 2: Convert to fraction form
    432,853.20/649,279.80 = 196,657.20/x
  3. Step 3: Cross multiply
    432,853.20x = 649,279.80 × 196,657.20
  4. Step 4: Simplify right side
    432,853.20x = 127,685,547,484.56
  5. Step 5: Solve for x
    x = 127,685,547,484.56/432,853.20
  6. Step 6: Final answer
    x = 294,985.80

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1.5x scale

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.