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Finding the Fourth Proportional to 526,036.80, 788,996.64 and 206,184

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Solution

The fourth proportional to 526,036.80, 788,996.64 and 206,184 is: 309,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,036.80 : 788,996.64 = 206,184 : x
  2. Step 2: Convert to fraction form
    526,036.80/788,996.64 = 206,184/x
  3. Step 3: Cross multiply
    526,036.80x = 788,996.64 × 206,184
  4. Step 4: Simplify right side
    526,036.80x = 162,678,483,221.76
  5. Step 5: Solve for x
    x = 162,678,483,221.76/526,036.80
  6. Step 6: Final answer
    x = 309,253.05

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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.