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Finding the Fourth Proportional to 298,767.98, 412,294.50 and 162,802.88

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Solution

The fourth proportional to 298,767.98, 412,294.50 and 162,802.88 is: 224,665.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,767.98 : 412,294.50 = 162,802.88 : x
  2. Step 2: Convert to fraction form
    298,767.98/412,294.50 = 162,802.88/x
  3. Step 3: Cross multiply
    298,767.98x = 412,294.50 × 162,802.88
  4. Step 4: Simplify right side
    298,767.98x = 67,122,732,008.16
  5. Step 5: Solve for x
    x = 67,122,732,008.16/298,767.98
  6. Step 6: Final answer
    x = 224,665.08

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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.