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Finding the Fourth Proportional to 472,844.40, 709,266.60 and 459,722.40

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Solution

The fourth proportional to 472,844.40, 709,266.60 and 459,722.40 is: 689,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,844.40 : 709,266.60 = 459,722.40 : x
  2. Step 2: Convert to fraction form
    472,844.40/709,266.60 = 459,722.40/x
  3. Step 3: Cross multiply
    472,844.40x = 709,266.60 × 459,722.40
  4. Step 4: Simplify right side
    472,844.40x = 326,065,743,591.84
  5. Step 5: Solve for x
    x = 326,065,743,591.84/472,844.40
  6. Step 6: Final answer
    x = 689,583.60

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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.