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Finding the Fourth Proportional to 301,712.52, 416,438.10 and 174,369.72

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Solution

The fourth proportional to 301,712.52, 416,438.10 and 174,369.72 is: 240,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,712.52 : 416,438.10 = 174,369.72 : x
  2. Step 2: Convert to fraction form
    301,712.52/416,438.10 = 174,369.72/x
  3. Step 3: Cross multiply
    301,712.52x = 416,438.10 × 174,369.72
  4. Step 4: Simplify right side
    301,712.52x = 72,614,194,894.33
  5. Step 5: Solve for x
    x = 72,614,194,894.33/301,712.52
  6. Step 6: Final answer
    x = 240,673.46

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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.