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Finding the Fourth Proportional to 384,564.40, 576,328.20 and 257,844.40

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Solution

The fourth proportional to 384,564.40, 576,328.20 and 257,844.40 is: 386,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,564.40 : 576,328.20 = 257,844.40 : x
  2. Step 2: Convert to fraction form
    384,564.40/576,328.20 = 257,844.40/x
  3. Step 3: Cross multiply
    384,564.40x = 576,328.20 × 257,844.40
  4. Step 4: Simplify right side
    384,564.40x = 148,602,998,932.08
  5. Step 5: Solve for x
    x = 148,602,998,932.08/384,564.40
  6. Step 6: Final answer
    x = 386,419.02

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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.