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Finding the Fourth Proportional to 209,466.40, 314,199.60 and 162,752.80

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Solution

The fourth proportional to 209,466.40, 314,199.60 and 162,752.80 is: 244,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,466.40 : 314,199.60 = 162,752.80 : x
  2. Step 2: Convert to fraction form
    209,466.40/314,199.60 = 162,752.80/x
  3. Step 3: Cross multiply
    209,466.40x = 314,199.60 × 162,752.80
  4. Step 4: Simplify right side
    209,466.40x = 51,136,864,658.88
  5. Step 5: Solve for x
    x = 51,136,864,658.88/209,466.40
  6. Step 6: Final answer
    x = 244,129.20

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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.