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Finding the Fourth Proportional to 473,003.60, 709,505.40 and 192,376.40

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Solution

The fourth proportional to 473,003.60, 709,505.40 and 192,376.40 is: 288,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,003.60 : 709,505.40 = 192,376.40 : x
  2. Step 2: Convert to fraction form
    473,003.60/709,505.40 = 192,376.40/x
  3. Step 3: Cross multiply
    473,003.60x = 709,505.40 × 192,376.40
  4. Step 4: Simplify right side
    473,003.60x = 136,492,094,632.56
  5. Step 5: Solve for x
    x = 136,492,094,632.56/473,003.60
  6. Step 6: Final answer
    x = 288,564.60

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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.