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Finding the Fourth Proportional to 298,774.41, 412,303.32 and 162,809.52

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Solution

The fourth proportional to 298,774.41, 412,303.32 and 162,809.52 is: 224,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,774.41 : 412,303.32 = 162,809.52 : x
  2. Step 2: Convert to fraction form
    298,774.41/412,303.32 = 162,809.52/x
  3. Step 3: Cross multiply
    298,774.41x = 412,303.32 × 162,809.52
  4. Step 4: Simplify right side
    298,774.41x = 67,126,905,623.61
  5. Step 5: Solve for x
    x = 67,126,905,623.61/298,774.41
  6. Step 6: Final answer
    x = 224,674.21

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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.