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Finding the Fourth Proportional to 461,668.96, 692,572.56 and 146,020.96

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Solution

The fourth proportional to 461,668.96, 692,572.56 and 146,020.96 is: 219,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,668.96 : 692,572.56 = 146,020.96 : x
  2. Step 2: Convert to fraction form
    461,668.96/692,572.56 = 146,020.96/x
  3. Step 3: Cross multiply
    461,668.96x = 692,572.56 × 146,020.96
  4. Step 4: Simplify right side
    461,668.96x = 101,130,110,080.86
  5. Step 5: Solve for x
    x = 101,130,110,080.86/461,668.96
  6. Step 6: Final answer
    x = 219,053.30

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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.