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Finding the Fourth Proportional to 633,206.81, 873,825.58 and 342,818.32

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Solution

The fourth proportional to 633,206.81, 873,825.58 and 342,818.32 is: 473,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,206.81 : 873,825.58 = 342,818.32 : x
  2. Step 2: Convert to fraction form
    633,206.81/873,825.58 = 342,818.32/x
  3. Step 3: Cross multiply
    633,206.81x = 873,825.58 × 342,818.32
  4. Step 4: Simplify right side
    633,206.81x = 299,563,414,267.02
  5. Step 5: Solve for x
    x = 299,563,414,267.02/633,206.81
  6. Step 6: Final answer
    x = 473,089.37

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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.