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Finding the Fourth Proportional to 384,561.40, 576,323.70 and 257,841.40

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Solution

The fourth proportional to 384,561.40, 576,323.70 and 257,841.40 is: 386,414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,561.40 : 576,323.70 = 257,841.40 : x
  2. Step 2: Convert to fraction form
    384,561.40/576,323.70 = 257,841.40/x
  3. Step 3: Cross multiply
    384,561.40x = 576,323.70 × 257,841.40
  4. Step 4: Simplify right side
    384,561.40x = 148,600,109,661.18
  5. Step 5: Solve for x
    x = 148,600,109,661.18/384,561.40
  6. Step 6: Final answer
    x = 386,414.52

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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.