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Finding the Fourth Proportional to 597,112.80, 824,091 and 342,458.52

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Solution

The fourth proportional to 597,112.80, 824,091 and 342,458.52 is: 472,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,112.80 : 824,091 = 342,458.52 : x
  2. Step 2: Convert to fraction form
    597,112.80/824,091 = 342,458.52/x
  3. Step 3: Cross multiply
    597,112.80x = 824,091 × 342,458.52
  4. Step 4: Simplify right side
    597,112.80x = 282,216,984,205.32
  5. Step 5: Solve for x
    x = 282,216,984,205.32/597,112.80
  6. Step 6: Final answer
    x = 472,635.96

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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.