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Finding the Fourth Proportional to 397,417.01, 596,127.26 and 127,586.14

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Solution

The fourth proportional to 397,417.01, 596,127.26 and 127,586.14 is: 191,379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,417.01 : 596,127.26 = 127,586.14 : x
  2. Step 2: Convert to fraction form
    397,417.01/596,127.26 = 127,586.14/x
  3. Step 3: Cross multiply
    397,417.01x = 596,127.26 × 127,586.14
  4. Step 4: Simplify right side
    397,417.01x = 76,057,574,342.57
  5. Step 5: Solve for x
    x = 76,057,574,342.57/397,417.01
  6. Step 6: Final answer
    x = 191,379.77

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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.