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Finding the Fourth Proportional to 472,401.72, 708,457.24 and 135,352.06

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Solution

The fourth proportional to 472,401.72, 708,457.24 and 135,352.06 is: 202,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,401.72 : 708,457.24 = 135,352.06 : x
  2. Step 2: Convert to fraction form
    472,401.72/708,457.24 = 135,352.06/x
  3. Step 3: Cross multiply
    472,401.72x = 708,457.24 × 135,352.06
  4. Step 4: Simplify right side
    472,401.72x = 95,891,148,477.68
  5. Step 5: Solve for x
    x = 95,891,148,477.68/472,401.72
  6. Step 6: Final answer
    x = 202,986.45

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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.