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Finding the Fourth Proportional to 369,533.34, 509,957.31 and 199,767.48

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Solution

The fourth proportional to 369,533.34, 509,957.31 and 199,767.48 is: 275,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,533.34 : 509,957.31 = 199,767.48 : x
  2. Step 2: Convert to fraction form
    369,533.34/509,957.31 = 199,767.48/x
  3. Step 3: Cross multiply
    369,533.34x = 509,957.31 × 199,767.48
  4. Step 4: Simplify right side
    369,533.34x = 101,872,886,726.28
  5. Step 5: Solve for x
    x = 101,872,886,726.28/369,533.34
  6. Step 6: Final answer
    x = 275,679.83

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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.