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Finding the Fourth Proportional to 334,056.70, 501,085.05 and 314,811.10

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Solution

The fourth proportional to 334,056.70, 501,085.05 and 314,811.10 is: 472,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,056.70 : 501,085.05 = 314,811.10 : x
  2. Step 2: Convert to fraction form
    334,056.70/501,085.05 = 314,811.10/x
  3. Step 3: Cross multiply
    334,056.70x = 501,085.05 × 314,811.10
  4. Step 4: Simplify right side
    334,056.70x = 157,747,135,784.06
  5. Step 5: Solve for x
    x = 157,747,135,784.06/334,056.70
  6. Step 6: Final answer
    x = 472,216.65

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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.