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Finding the Fourth Proportional to 461,592.36, 692,488.98 and 146,052

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Solution

The fourth proportional to 461,592.36, 692,488.98 and 146,052 is: 219,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,592.36 : 692,488.98 = 146,052 : x
  2. Step 2: Convert to fraction form
    461,592.36/692,488.98 = 146,052/x
  3. Step 3: Cross multiply
    461,592.36x = 692,488.98 × 146,052
  4. Step 4: Simplify right side
    461,592.36x = 101,139,400,506.96
  5. Step 5: Solve for x
    x = 101,139,400,506.96/461,592.36
  6. Step 6: Final answer
    x = 219,109.78

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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.