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Finding the Fourth Proportional to 461,594.62, 692,430.81 and 146,044.54

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Solution

The fourth proportional to 461,594.62, 692,430.81 and 146,044.54 is: 219,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,594.62 : 692,430.81 = 146,044.54 : x
  2. Step 2: Convert to fraction form
    461,594.62/692,430.81 = 146,044.54/x
  3. Step 3: Cross multiply
    461,594.62x = 692,430.81 × 146,044.54
  4. Step 4: Simplify right side
    461,594.62x = 101,125,739,128.28
  5. Step 5: Solve for x
    x = 101,125,739,128.28/461,594.62
  6. Step 6: Final answer
    x = 219,079.11

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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.