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Finding the Fourth Proportional to 369,176.34, 509,463.56 and 199,410.47

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Solution

The fourth proportional to 369,176.34, 509,463.56 and 199,410.47 is: 275,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,176.34 : 509,463.56 = 199,410.47 : x
  2. Step 2: Convert to fraction form
    369,176.34/509,463.56 = 199,410.47/x
  3. Step 3: Cross multiply
    369,176.34x = 509,463.56 × 199,410.47
  4. Step 4: Simplify right side
    369,176.34x = 101,592,367,947.47
  5. Step 5: Solve for x
    x = 101,592,367,947.47/369,176.34
  6. Step 6: Final answer
    x = 275,186.56

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1.5x scale

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.