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Finding the Fourth Proportional to 301,572.05, 416,311.11 and 174,223.04

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Solution

The fourth proportional to 301,572.05, 416,311.11 and 174,223.04 is: 240,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,572.05 : 416,311.11 = 174,223.04 : x
  2. Step 2: Convert to fraction form
    301,572.05/416,311.11 = 174,223.04/x
  3. Step 3: Cross multiply
    301,572.05x = 416,311.11 × 174,223.04
  4. Step 4: Simplify right side
    301,572.05x = 72,530,985,088.42
  5. Step 5: Solve for x
    x = 72,530,985,088.42/301,572.05
  6. Step 6: Final answer
    x = 240,509.64

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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.