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Finding the Fourth Proportional to 473,193.60, 709,531.20 and 192,393.60

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Solution

The fourth proportional to 473,193.60, 709,531.20 and 192,393.60 is: 288,485.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,193.60 : 709,531.20 = 192,393.60 : x
  2. Step 2: Convert to fraction form
    473,193.60/709,531.20 = 192,393.60/x
  3. Step 3: Cross multiply
    473,193.60x = 709,531.20 × 192,393.60
  4. Step 4: Simplify right side
    473,193.60x = 136,509,261,880.32
  5. Step 5: Solve for x
    x = 136,509,261,880.32/473,193.60
  6. Step 6: Final answer
    x = 288,485.01

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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.