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Finding the Fourth Proportional to 298,590.84, 412,057.80 and 162,625.32

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Solution

The fourth proportional to 298,590.84, 412,057.80 and 162,625.32 is: 224,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,590.84 : 412,057.80 = 162,625.32 : x
  2. Step 2: Convert to fraction form
    298,590.84/412,057.80 = 162,625.32/x
  3. Step 3: Cross multiply
    298,590.84x = 412,057.80 × 162,625.32
  4. Step 4: Simplify right side
    298,590.84x = 67,011,031,583.50
  5. Step 5: Solve for x
    x = 67,011,031,583.50/298,590.84
  6. Step 6: Final answer
    x = 224,424.27

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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.