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Finding the Fourth Proportional to 477,078.91, 715,973.13 and 192,771.93

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Solution

The fourth proportional to 477,078.91, 715,973.13 and 192,771.93 is: 289,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,078.91 : 715,973.13 = 192,771.93 : x
  2. Step 2: Convert to fraction form
    477,078.91/715,973.13 = 192,771.93/x
  3. Step 3: Cross multiply
    477,078.91x = 715,973.13 × 192,771.93
  4. Step 4: Simplify right side
    477,078.91x = 138,019,521,134.38
  5. Step 5: Solve for x
    x = 138,019,521,134.38/477,078.91
  6. Step 6: Final answer
    x = 289,301.24

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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.