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Finding the Fourth Proportional to 603,052.50, 904,993.47 and 209,068.50

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Solution

The fourth proportional to 603,052.50, 904,993.47 and 209,068.50 is: 313,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,052.50 : 904,993.47 = 209,068.50 : x
  2. Step 2: Convert to fraction form
    603,052.50/904,993.47 = 209,068.50/x
  3. Step 3: Cross multiply
    603,052.50x = 904,993.47 × 209,068.50
  4. Step 4: Simplify right side
    603,052.50x = 189,205,627,282.70
  5. Step 5: Solve for x
    x = 189,205,627,282.70/603,052.50
  6. Step 6: Final answer
    x = 313,746.53

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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.