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Finding the Fourth Proportional to 477,280.27, 715,907.58 and 117,454.33

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Solution

The fourth proportional to 477,280.27, 715,907.58 and 117,454.33 is: 176,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,280.27 : 715,907.58 = 117,454.33 : x
  2. Step 2: Convert to fraction form
    477,280.27/715,907.58 = 117,454.33/x
  3. Step 3: Cross multiply
    477,280.27x = 715,907.58 × 117,454.33
  4. Step 4: Simplify right side
    477,280.27x = 84,086,445,150.82
  5. Step 5: Solve for x
    x = 84,086,445,150.82/477,280.27
  6. Step 6: Final answer
    x = 176,178.34

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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.