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Finding the Fourth Proportional to 603,942, 906,208.23 and 427,582.32

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Solution

The fourth proportional to 603,942, 906,208.23 and 427,582.32 is: 641,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,942 : 906,208.23 = 427,582.32 : x
  2. Step 2: Convert to fraction form
    603,942/906,208.23 = 427,582.32/x
  3. Step 3: Cross multiply
    603,942x = 906,208.23 × 427,582.32
  4. Step 4: Simplify right side
    603,942x = 387,478,617,386.49
  5. Step 5: Solve for x
    x = 387,478,617,386.49/603,942
  6. Step 6: Final answer
    x = 641,582.50

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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.