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Finding the Fourth Proportional to 301,657.53, 416,271.15 and 172,598.52

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Solution

The fourth proportional to 301,657.53, 416,271.15 and 172,598.52 is: 238,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,657.53 : 416,271.15 = 172,598.52 : x
  2. Step 2: Convert to fraction form
    301,657.53/416,271.15 = 172,598.52/x
  3. Step 3: Cross multiply
    301,657.53x = 416,271.15 × 172,598.52
  4. Step 4: Simplify right side
    301,657.53x = 71,847,784,408.70
  5. Step 5: Solve for x
    x = 71,847,784,408.70/301,657.53
  6. Step 6: Final answer
    x = 238,176.66

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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.