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Finding the Fourth Proportional to 334,069.80, 501,104.70 and 314,386.80

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Solution

The fourth proportional to 334,069.80, 501,104.70 and 314,386.80 is: 471,580.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,069.80 : 501,104.70 = 314,386.80 : x
  2. Step 2: Convert to fraction form
    334,069.80/501,104.70 = 314,386.80/x
  3. Step 3: Cross multiply
    334,069.80x = 501,104.70 × 314,386.80
  4. Step 4: Simplify right side
    334,069.80x = 157,540,703,097.96
  5. Step 5: Solve for x
    x = 157,540,703,097.96/334,069.80
  6. Step 6: Final answer
    x = 471,580.20

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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.