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Finding the Fourth Proportional to 386,303.18, 533,088.45 and 214,218.38

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Solution

The fourth proportional to 386,303.18, 533,088.45 and 214,218.38 is: 295,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,303.18 : 533,088.45 = 214,218.38 : x
  2. Step 2: Convert to fraction form
    386,303.18/533,088.45 = 214,218.38/x
  3. Step 3: Cross multiply
    386,303.18x = 533,088.45 × 214,218.38
  4. Step 4: Simplify right side
    386,303.18x = 114,197,345,488.43
  5. Step 5: Solve for x
    x = 114,197,345,488.43/386,303.18
  6. Step 6: Final answer
    x = 295,615.86

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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.