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Finding the Fourth Proportional to 349,056.40, 522,029.40 and 293,069.20

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Solution

The fourth proportional to 349,056.40, 522,029.40 and 293,069.20 is: 438,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,056.40 : 522,029.40 = 293,069.20 : x
  2. Step 2: Convert to fraction form
    349,056.40/522,029.40 = 293,069.20/x
  3. Step 3: Cross multiply
    349,056.40x = 522,029.40 × 293,069.20
  4. Step 4: Simplify right side
    349,056.40x = 152,990,738,634.48
  5. Step 5: Solve for x
    x = 152,990,738,634.48/349,056.40
  6. Step 6: Final answer
    x = 438,298.05

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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.