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Finding the Fourth Proportional to 334,051.80, 501,077.70 and 310,432.20

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Solution

The fourth proportional to 334,051.80, 501,077.70 and 310,432.20 is: 465,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,051.80 : 501,077.70 = 310,432.20 : x
  2. Step 2: Convert to fraction form
    334,051.80/501,077.70 = 310,432.20/x
  3. Step 3: Cross multiply
    334,051.80x = 501,077.70 × 310,432.20
  4. Step 4: Simplify right side
    334,051.80x = 155,550,652,781.94
  5. Step 5: Solve for x
    x = 155,550,652,781.94/334,051.80
  6. Step 6: Final answer
    x = 465,648.30

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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.