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Finding the Fourth Proportional to 294,223.30, 440,460.15 and 294,223.30

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Solution

The fourth proportional to 294,223.30, 440,460.15 and 294,223.30 is: 440,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,223.30 : 440,460.15 = 294,223.30 : x
  2. Step 2: Convert to fraction form
    294,223.30/440,460.15 = 294,223.30/x
  3. Step 3: Cross multiply
    294,223.30x = 440,460.15 × 294,223.30
  4. Step 4: Simplify right side
    294,223.30x = 129,593,638,851.50
  5. Step 5: Solve for x
    x = 129,593,638,851.50/294,223.30
  6. Step 6: Final answer
    x = 440,460.15

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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.