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Finding the Fourth Proportional to 380,065.38, 524,454.51 and 257,308.05

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Solution

The fourth proportional to 380,065.38, 524,454.51 and 257,308.05 is: 355,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,065.38 : 524,454.51 = 257,308.05 : x
  2. Step 2: Convert to fraction form
    380,065.38/524,454.51 = 257,308.05/x
  3. Step 3: Cross multiply
    380,065.38x = 524,454.51 × 257,308.05
  4. Step 4: Simplify right side
    380,065.38x = 134,946,366,280.01
  5. Step 5: Solve for x
    x = 134,946,366,280.01/380,065.38
  6. Step 6: Final answer
    x = 355,060.92

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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.