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Finding the Fourth Proportional to 334,221.48, 461,328.90 and 214,989.48

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Solution

The fourth proportional to 334,221.48, 461,328.90 and 214,989.48 is: 296,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,221.48 : 461,328.90 = 214,989.48 : x
  2. Step 2: Convert to fraction form
    334,221.48/461,328.90 = 214,989.48/x
  3. Step 3: Cross multiply
    334,221.48x = 461,328.90 × 214,989.48
  4. Step 4: Simplify right side
    334,221.48x = 99,180,860,319.97
  5. Step 5: Solve for x
    x = 99,180,860,319.97/334,221.48
  6. Step 6: Final answer
    x = 296,751.90

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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.