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Finding the Fourth Proportional to 472,164.75, 651,586.35 and 257,304.30

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Solution

The fourth proportional to 472,164.75, 651,586.35 and 257,304.30 is: 355,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,164.75 : 651,586.35 = 257,304.30 : x
  2. Step 2: Convert to fraction form
    472,164.75/651,586.35 = 257,304.30/x
  3. Step 3: Cross multiply
    472,164.75x = 651,586.35 × 257,304.30
  4. Step 4: Simplify right side
    472,164.75x = 167,655,969,676.31
  5. Step 5: Solve for x
    x = 167,655,969,676.31/472,164.75
  6. Step 6: Final answer
    x = 355,079.39

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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.