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Finding the Fourth Proportional to 334,064.70, 501,097.05 and 294,698.70

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Solution

The fourth proportional to 334,064.70, 501,097.05 and 294,698.70 is: 442,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,064.70 : 501,097.05 = 294,698.70 : x
  2. Step 2: Convert to fraction form
    334,064.70/501,097.05 = 294,698.70/x
  3. Step 3: Cross multiply
    334,064.70x = 501,097.05 × 294,698.70
  4. Step 4: Simplify right side
    334,064.70x = 147,672,649,208.84
  5. Step 5: Solve for x
    x = 147,672,649,208.84/334,064.70
  6. Step 6: Final answer
    x = 442,048.05

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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.