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Finding the Fourth Proportional to 461,762.80, 692,665.80 and 146,244.40

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Solution

The fourth proportional to 461,762.80, 692,665.80 and 146,244.40 is: 219,373.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,762.80 : 692,665.80 = 146,244.40 : x
  2. Step 2: Convert to fraction form
    461,762.80/692,665.80 = 146,244.40/x
  3. Step 3: Cross multiply
    461,762.80x = 692,665.80 × 146,244.40
  4. Step 4: Simplify right side
    461,762.80x = 101,298,494,321.52
  5. Step 5: Solve for x
    x = 101,298,494,321.52/461,762.80
  6. Step 6: Final answer
    x = 219,373.44

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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.