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Finding the Fourth Proportional to 302,009.28, 416,820.96 and 174,762.24

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Solution

The fourth proportional to 302,009.28, 416,820.96 and 174,762.24 is: 241,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,009.28 : 416,820.96 = 174,762.24 : x
  2. Step 2: Convert to fraction form
    302,009.28/416,820.96 = 174,762.24/x
  3. Step 3: Cross multiply
    302,009.28x = 416,820.96 × 174,762.24
  4. Step 4: Simplify right side
    302,009.28x = 72,844,564,648.55
  5. Step 5: Solve for x
    x = 72,844,564,648.55/302,009.28
  6. Step 6: Final answer
    x = 241,199.76

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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.