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Finding the Fourth Proportional to 395,670.64, 546,026.16 and 214,382.56

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Solution

The fourth proportional to 395,670.64, 546,026.16 and 214,382.56 is: 295,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,670.64 : 546,026.16 = 214,382.56 : x
  2. Step 2: Convert to fraction form
    395,670.64/546,026.16 = 214,382.56/x
  3. Step 3: Cross multiply
    395,670.64x = 546,026.16 × 214,382.56
  4. Step 4: Simplify right side
    395,670.64x = 117,058,486,007.77
  5. Step 5: Solve for x
    x = 117,058,486,007.77/395,670.64
  6. Step 6: Final answer
    x = 295,848.30

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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.