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Finding the Fourth Proportional to 301,590, 416,162.88 and 174,306.24

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Solution

The fourth proportional to 301,590, 416,162.88 and 174,306.24 is: 240,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,590 : 416,162.88 = 174,306.24 : x
  2. Step 2: Convert to fraction form
    301,590/416,162.88 = 174,306.24/x
  3. Step 3: Cross multiply
    301,590x = 416,162.88 × 174,306.24
  4. Step 4: Simplify right side
    301,590x = 72,539,786,840.37
  5. Step 5: Solve for x
    x = 72,539,786,840.37/301,590
  6. Step 6: Final answer
    x = 240,524.51

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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.