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Finding the Fourth Proportional to 308,594.40, 463,669.20 and 196,328.40

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Solution

The fourth proportional to 308,594.40, 463,669.20 and 196,328.40 is: 294,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,594.40 : 463,669.20 = 196,328.40 : x
  2. Step 2: Convert to fraction form
    308,594.40/463,669.20 = 196,328.40/x
  3. Step 3: Cross multiply
    308,594.40x = 463,669.20 × 196,328.40
  4. Step 4: Simplify right side
    308,594.40x = 91,031,432,165.28
  5. Step 5: Solve for x
    x = 91,031,432,165.28/308,594.40
  6. Step 6: Final answer
    x = 294,987.31

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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.