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Finding the Fourth Proportional to 298,438.23, 411,840.66 and 162,473.34

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Solution

The fourth proportional to 298,438.23, 411,840.66 and 162,473.34 is: 224,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,438.23 : 411,840.66 = 162,473.34 : x
  2. Step 2: Convert to fraction form
    298,438.23/411,840.66 = 162,473.34/x
  3. Step 3: Cross multiply
    298,438.23x = 411,840.66 × 162,473.34
  4. Step 4: Simplify right side
    298,438.23x = 66,913,127,578.00
  5. Step 5: Solve for x
    x = 66,913,127,578.00/298,438.23
  6. Step 6: Final answer
    x = 224,210.98

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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.