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Finding the Fourth Proportional to 334,189.68, 461,349.72 and 217,955.76

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Solution

The fourth proportional to 334,189.68, 461,349.72 and 217,955.76 is: 300,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,189.68 : 461,349.72 = 217,955.76 : x
  2. Step 2: Convert to fraction form
    334,189.68/461,349.72 = 217,955.76/x
  3. Step 3: Cross multiply
    334,189.68x = 461,349.72 × 217,955.76
  4. Step 4: Simplify right side
    334,189.68x = 100,553,828,848.39
  5. Step 5: Solve for x
    x = 100,553,828,848.39/334,189.68
  6. Step 6: Final answer
    x = 300,888.49

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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.