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Finding the Fourth Proportional to 334,714.80, 501,913.80 and 194,516.40

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Solution

The fourth proportional to 334,714.80, 501,913.80 and 194,516.40 is: 291,682.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,714.80 : 501,913.80 = 194,516.40 : x
  2. Step 2: Convert to fraction form
    334,714.80/501,913.80 = 194,516.40/x
  3. Step 3: Cross multiply
    334,714.80x = 501,913.80 × 194,516.40
  4. Step 4: Simplify right side
    334,714.80x = 97,630,465,486.32
  5. Step 5: Solve for x
    x = 97,630,465,486.32/334,714.80
  6. Step 6: Final answer
    x = 291,682.55

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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.