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Finding the Fourth Proportional to 334,801.86, 502,074.26 and 142,554.40

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Solution

The fourth proportional to 334,801.86, 502,074.26 and 142,554.40 is: 213,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,801.86 : 502,074.26 = 142,554.40 : x
  2. Step 2: Convert to fraction form
    334,801.86/502,074.26 = 142,554.40/x
  3. Step 3: Cross multiply
    334,801.86x = 502,074.26 × 142,554.40
  4. Step 4: Simplify right side
    334,801.86x = 71,572,894,889.74
  5. Step 5: Solve for x
    x = 71,572,894,889.74/334,801.86
  6. Step 6: Final answer
    x = 213,776.87

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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.