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Finding the Fourth Proportional to 603,322.70, 904,206.45 and 462,382.70

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Solution

The fourth proportional to 603,322.70, 904,206.45 and 462,382.70 is: 692,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,322.70 : 904,206.45 = 462,382.70 : x
  2. Step 2: Convert to fraction form
    603,322.70/904,206.45 = 462,382.70/x
  3. Step 3: Cross multiply
    603,322.70x = 904,206.45 × 462,382.70
  4. Step 4: Simplify right side
    603,322.70x = 418,089,419,708.42
  5. Step 5: Solve for x
    x = 418,089,419,708.42/603,322.70
  6. Step 6: Final answer
    x = 692,978.10

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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.