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Finding the Fourth Proportional to 395,675.34, 546,031.21 and 214,392.17

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Solution

The fourth proportional to 395,675.34, 546,031.21 and 214,392.17 is: 295,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,675.34 : 546,031.21 = 214,392.17 : x
  2. Step 2: Convert to fraction form
    395,675.34/546,031.21 = 214,392.17/x
  3. Step 3: Cross multiply
    395,675.34x = 546,031.21 × 214,392.17
  4. Step 4: Simplify right side
    395,675.34x = 117,064,817,230.71
  5. Step 5: Solve for x
    x = 117,064,817,230.71/395,675.34
  6. Step 6: Final answer
    x = 295,860.79

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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.