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Finding the Fourth Proportional to 583,419.40, 873,816.90 and 347,223.40

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Solution

The fourth proportional to 583,419.40, 873,816.90 and 347,223.40 is: 520,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,419.40 : 873,816.90 = 347,223.40 : x
  2. Step 2: Convert to fraction form
    583,419.40/873,816.90 = 347,223.40/x
  3. Step 3: Cross multiply
    583,419.40x = 873,816.90 × 347,223.40
  4. Step 4: Simplify right side
    583,419.40x = 303,409,674,995.46
  5. Step 5: Solve for x
    x = 303,409,674,995.46/583,419.40
  6. Step 6: Final answer
    x = 520,054.14

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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.