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Finding the Fourth Proportional to 477,469.13, 716,051.53 and 157,561.37

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Solution

The fourth proportional to 477,469.13, 716,051.53 and 157,561.37 is: 236,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,469.13 : 716,051.53 = 157,561.37 : x
  2. Step 2: Convert to fraction form
    477,469.13/716,051.53 = 157,561.37/x
  3. Step 3: Cross multiply
    477,469.13x = 716,051.53 × 157,561.37
  4. Step 4: Simplify right side
    477,469.13x = 112,822,059,359.28
  5. Step 5: Solve for x
    x = 112,822,059,359.28/477,469.13
  6. Step 6: Final answer
    x = 236,291.84

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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.