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Finding the Fourth Proportional to 223,864.83, 334,159.36 and 197,293.59

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Solution

The fourth proportional to 223,864.83, 334,159.36 and 197,293.59 is: 294,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,864.83 : 334,159.36 = 197,293.59 : x
  2. Step 2: Convert to fraction form
    223,864.83/334,159.36 = 197,293.59/x
  3. Step 3: Cross multiply
    223,864.83x = 334,159.36 × 197,293.59
  4. Step 4: Simplify right side
    223,864.83x = 65,927,499,273.27
  5. Step 5: Solve for x
    x = 65,927,499,273.27/223,864.83
  6. Step 6: Final answer
    x = 294,496.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.