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Finding the Fourth Proportional to 386,595.60, 533,495.40 and 216,826.08

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Solution

The fourth proportional to 386,595.60, 533,495.40 and 216,826.08 is: 299,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,595.60 : 533,495.40 = 216,826.08 : x
  2. Step 2: Convert to fraction form
    386,595.60/533,495.40 = 216,826.08/x
  3. Step 3: Cross multiply
    386,595.60x = 533,495.40 × 216,826.08
  4. Step 4: Simplify right side
    386,595.60x = 115,675,716,280.03
  5. Step 5: Solve for x
    x = 115,675,716,280.03/386,595.60
  6. Step 6: Final answer
    x = 299,216.33

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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.