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Finding the Fourth Proportional to 412,208.01, 618,312.28 and 112,666.07

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Solution

The fourth proportional to 412,208.01, 618,312.28 and 112,666.07 is: 168,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,208.01 : 618,312.28 = 112,666.07 : x
  2. Step 2: Convert to fraction form
    412,208.01/618,312.28 = 112,666.07/x
  3. Step 3: Cross multiply
    412,208.01x = 618,312.28 × 112,666.07
  4. Step 4: Simplify right side
    412,208.01x = 69,662,816,832.54
  5. Step 5: Solve for x
    x = 69,662,816,832.54/412,208.01
  6. Step 6: Final answer
    x = 168,999.18

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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.