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Finding the Fourth Proportional to 257,117.70, 385,676.55 and 182,322.30

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Solution

The fourth proportional to 257,117.70, 385,676.55 and 182,322.30 is: 273,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,117.70 : 385,676.55 = 182,322.30 : x
  2. Step 2: Convert to fraction form
    257,117.70/385,676.55 = 182,322.30/x
  3. Step 3: Cross multiply
    257,117.70x = 385,676.55 × 182,322.30
  4. Step 4: Simplify right side
    257,117.70x = 70,317,435,652.07
  5. Step 5: Solve for x
    x = 70,317,435,652.07/257,117.70
  6. Step 6: Final answer
    x = 273,483.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.