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Finding the Fourth Proportional to 597,570.91, 824,285.23 and 355,691.95

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Solution

The fourth proportional to 597,570.91, 824,285.23 and 355,691.95 is: 490,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,570.91 : 824,285.23 = 355,691.95 : x
  2. Step 2: Convert to fraction form
    597,570.91/824,285.23 = 355,691.95/x
  3. Step 3: Cross multiply
    597,570.91x = 824,285.23 × 355,691.95
  4. Step 4: Simplify right side
    597,570.91x = 293,191,620,814.90
  5. Step 5: Solve for x
    x = 293,191,620,814.90/597,570.91
  6. Step 6: Final answer
    x = 490,639.05

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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.