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Finding the Fourth Proportional to 383,761.40, 575,123.70 and 257,041.40

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Solution

The fourth proportional to 383,761.40, 575,123.70 and 257,041.40 is: 385,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,761.40 : 575,123.70 = 257,041.40 : x
  2. Step 2: Convert to fraction form
    383,761.40/575,123.70 = 257,041.40/x
  3. Step 3: Cross multiply
    383,761.40x = 575,123.70 × 257,041.40
  4. Step 4: Simplify right side
    383,761.40x = 147,830,601,021.18
  5. Step 5: Solve for x
    x = 147,830,601,021.18/383,761.40
  6. Step 6: Final answer
    x = 385,214.88

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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.