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Finding the Fourth Proportional to 477,463.02, 716,042.63 and 157,555.26

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Solution

The fourth proportional to 477,463.02, 716,042.63 and 157,555.26 is: 236,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,463.02 : 716,042.63 = 157,555.26 : x
  2. Step 2: Convert to fraction form
    477,463.02/716,042.63 = 157,555.26/x
  3. Step 3: Cross multiply
    477,463.02x = 716,042.63 × 157,555.26
  4. Step 4: Simplify right side
    477,463.02x = 112,816,285,819.78
  5. Step 5: Solve for x
    x = 112,816,285,819.78/477,463.02
  6. Step 6: Final answer
    x = 236,282.77

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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.