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Finding the Fourth Proportional to 828,362.40, 1,241,668.80 and 472,610.40

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Solution

The fourth proportional to 828,362.40, 1,241,668.80 and 472,610.40 is: 708,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,362.40 : 1,241,668.80 = 472,610.40 : x
  2. Step 2: Convert to fraction form
    828,362.40/1,241,668.80 = 472,610.40/x
  3. Step 3: Cross multiply
    828,362.40x = 1,241,668.80 × 472,610.40
  4. Step 4: Simplify right side
    828,362.40x = 586,825,588,235.52
  5. Step 5: Solve for x
    x = 586,825,588,235.52/828,362.40
  6. Step 6: Final answer
    x = 708,416.50

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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.