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Finding the Fourth Proportional to 384,903.14, 577,878.27 and 216,541.94

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Solution

The fourth proportional to 384,903.14, 577,878.27 and 216,541.94 is: 325,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,903.14 : 577,878.27 = 216,541.94 : x
  2. Step 2: Convert to fraction form
    384,903.14/577,878.27 = 216,541.94/x
  3. Step 3: Cross multiply
    384,903.14x = 577,878.27 × 216,541.94
  4. Step 4: Simplify right side
    384,903.14x = 125,134,878,780.25
  5. Step 5: Solve for x
    x = 125,134,878,780.25/384,903.14
  6. Step 6: Final answer
    x = 325,107.46

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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.