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Finding the Fourth Proportional to 334,460.85, 501,767.88 and 144,953

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Solution

The fourth proportional to 334,460.85, 501,767.88 and 144,953 is: 217,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,460.85 : 501,767.88 = 144,953 : x
  2. Step 2: Convert to fraction form
    334,460.85/501,767.88 = 144,953/x
  3. Step 3: Cross multiply
    334,460.85x = 501,767.88 × 144,953
  4. Step 4: Simplify right side
    334,460.85x = 72,732,758,784.88
  5. Step 5: Solve for x
    x = 72,732,758,784.88/334,460.85
  6. Step 6: Final answer
    x = 217,462.70

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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.