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Finding the Fourth Proportional to 546,223, 753,832.64 and 301,255.68

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Solution

The fourth proportional to 546,223, 753,832.64 and 301,255.68 is: 415,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,223 : 753,832.64 = 301,255.68 : x
  2. Step 2: Convert to fraction form
    546,223/753,832.64 = 301,255.68/x
  3. Step 3: Cross multiply
    546,223x = 753,832.64 × 301,255.68
  4. Step 4: Simplify right side
    546,223x = 227,096,364,569.40
  5. Step 5: Solve for x
    x = 227,096,364,569.40/546,223
  6. Step 6: Final answer
    x = 415,757.60

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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.