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Finding the Fourth Proportional to 342,457.83, 472,477.34 and 199,187.46

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Solution

The fourth proportional to 342,457.83, 472,477.34 and 199,187.46 is: 274,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,457.83 : 472,477.34 = 199,187.46 : x
  2. Step 2: Convert to fraction form
    342,457.83/472,477.34 = 199,187.46/x
  3. Step 3: Cross multiply
    342,457.83x = 472,477.34 × 199,187.46
  4. Step 4: Simplify right side
    342,457.83x = 94,111,560,578.93
  5. Step 5: Solve for x
    x = 94,111,560,578.93/342,457.83
  6. Step 6: Final answer
    x = 274,812.12

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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.