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Finding the Fourth Proportional to 474,047.80, 709,343.70 and 349,631.80

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Solution

The fourth proportional to 474,047.80, 709,343.70 and 349,631.80 is: 523,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,047.80 : 709,343.70 = 349,631.80 : x
  2. Step 2: Convert to fraction form
    474,047.80/709,343.70 = 349,631.80/x
  3. Step 3: Cross multiply
    474,047.80x = 709,343.70 × 349,631.80
  4. Step 4: Simplify right side
    474,047.80x = 248,009,114,649.66
  5. Step 5: Solve for x
    x = 248,009,114,649.66/474,047.80
  6. Step 6: Final answer
    x = 523,173.22

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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.