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Finding the Fourth Proportional to 410,048.68, 565,364.45 and 337,196.98

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Solution

The fourth proportional to 410,048.68, 565,364.45 and 337,196.98 is: 464,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,048.68 : 565,364.45 = 337,196.98 : x
  2. Step 2: Convert to fraction form
    410,048.68/565,364.45 = 337,196.98/x
  3. Step 3: Cross multiply
    410,048.68x = 565,364.45 × 337,196.98
  4. Step 4: Simplify right side
    410,048.68x = 190,639,180,626.55
  5. Step 5: Solve for x
    x = 190,639,180,626.55/410,048.68
  6. Step 6: Final answer
    x = 464,918.42

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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.