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Finding the Fourth Proportional to 477,894.54, 716,843.74 and 193,590.52

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Solution

The fourth proportional to 477,894.54, 716,843.74 and 193,590.52 is: 290,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,894.54 : 716,843.74 = 193,590.52 : x
  2. Step 2: Convert to fraction form
    477,894.54/716,843.74 = 193,590.52/x
  3. Step 3: Cross multiply
    477,894.54x = 716,843.74 × 193,590.52
  4. Step 4: Simplify right side
    477,894.54x = 138,774,152,716.46
  5. Step 5: Solve for x
    x = 138,774,152,716.46/477,894.54
  6. Step 6: Final answer
    x = 290,386.56

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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.