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Finding the Fourth Proportional to 302,416.16, 417,263.10 and 254,201.36

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Solution

The fourth proportional to 302,416.16, 417,263.10 and 254,201.36 is: 350,738.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416.16 : 417,263.10 = 254,201.36 : x
  2. Step 2: Convert to fraction form
    302,416.16/417,263.10 = 254,201.36/x
  3. Step 3: Cross multiply
    302,416.16x = 417,263.10 × 254,201.36
  4. Step 4: Simplify right side
    302,416.16x = 106,068,847,497.82
  5. Step 5: Solve for x
    x = 106,068,847,497.82/302,416.16
  6. Step 6: Final answer
    x = 350,738.03

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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.