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Finding the Fourth Proportional to 334,809.91, 502,214.86 and 147,784.15

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Solution

The fourth proportional to 334,809.91, 502,214.86 and 147,784.15 is: 221,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,809.91 : 502,214.86 = 147,784.15 : x
  2. Step 2: Convert to fraction form
    334,809.91/502,214.86 = 147,784.15/x
  3. Step 3: Cross multiply
    334,809.91x = 502,214.86 × 147,784.15
  4. Step 4: Simplify right side
    334,809.91x = 74,219,395,131.66
  5. Step 5: Solve for x
    x = 74,219,395,131.66/334,809.91
  6. Step 6: Final answer
    x = 221,676.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.