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Finding the Fourth Proportional to 873,594.40, 1,310,706.96 and 305,059.32

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Solution

The fourth proportional to 873,594.40, 1,310,706.96 and 305,059.32 is: 457,699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,594.40 : 1,310,706.96 = 305,059.32 : x
  2. Step 2: Convert to fraction form
    873,594.40/1,310,706.96 = 305,059.32/x
  3. Step 3: Cross multiply
    873,594.40x = 1,310,706.96 × 305,059.32
  4. Step 4: Simplify right side
    873,594.40x = 399,843,373,936.87
  5. Step 5: Solve for x
    x = 399,843,373,936.87/873,594.40
  6. Step 6: Final answer
    x = 457,699.10

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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.