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Finding the Fourth Proportional to 477,721.78, 716,567.48 and 117,894.66

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Solution

The fourth proportional to 477,721.78, 716,567.48 and 117,894.66 is: 176,838.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,721.78 : 716,567.48 = 117,894.66 : x
  2. Step 2: Convert to fraction form
    477,721.78/716,567.48 = 117,894.66/x
  3. Step 3: Cross multiply
    477,721.78x = 716,567.48 × 117,894.66
  4. Step 4: Simplify right side
    477,721.78x = 84,479,479,421.66
  5. Step 5: Solve for x
    x = 84,479,479,421.66/477,721.78
  6. Step 6: Final answer
    x = 176,838.24

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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.