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Finding the Fourth Proportional to 474,314.80, 709,744.20 and 349,898.80

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Solution

The fourth proportional to 474,314.80, 709,744.20 and 349,898.80 is: 523,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,314.80 : 709,744.20 = 349,898.80 : x
  2. Step 2: Convert to fraction form
    474,314.80/709,744.20 = 349,898.80/x
  3. Step 3: Cross multiply
    474,314.80x = 709,744.20 × 349,898.80
  4. Step 4: Simplify right side
    474,314.80x = 248,338,643,886.96
  5. Step 5: Solve for x
    x = 248,338,643,886.96/474,314.80
  6. Step 6: Final answer
    x = 523,573.47

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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.