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Finding the Fourth Proportional to 477,524.72, 716,295.36 and 161,989.76

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Solution

The fourth proportional to 477,524.72, 716,295.36 and 161,989.76 is: 242,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,524.72 : 716,295.36 = 161,989.76 : x
  2. Step 2: Convert to fraction form
    477,524.72/716,295.36 = 161,989.76/x
  3. Step 3: Cross multiply
    477,524.72x = 716,295.36 × 161,989.76
  4. Step 4: Simplify right side
    477,524.72x = 116,032,513,455.51
  5. Step 5: Solve for x
    x = 116,032,513,455.51/477,524.72
  6. Step 6: Final answer
    x = 242,987.45

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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.