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Finding the Fourth Proportional to 383,784.40, 575,158.20 and 257,064.40

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Solution

The fourth proportional to 383,784.40, 575,158.20 and 257,064.40 is: 385,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,784.40 : 575,158.20 = 257,064.40 : x
  2. Step 2: Convert to fraction form
    383,784.40/575,158.20 = 257,064.40/x
  3. Step 3: Cross multiply
    383,784.40x = 575,158.20 × 257,064.40
  4. Step 4: Simplify right side
    383,784.40x = 147,852,697,588.08
  5. Step 5: Solve for x
    x = 147,852,697,588.08/383,784.40
  6. Step 6: Final answer
    x = 385,249.37

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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.