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Finding the Fourth Proportional to 461,641.80, 692,495.10 and 262,057.80

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Solution

The fourth proportional to 461,641.80, 692,495.10 and 262,057.80 is: 393,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,641.80 : 692,495.10 = 262,057.80 : x
  2. Step 2: Convert to fraction form
    461,641.80/692,495.10 = 262,057.80/x
  3. Step 3: Cross multiply
    461,641.80x = 692,495.10 × 262,057.80
  4. Step 4: Simplify right side
    461,641.80x = 181,473,742,416.78
  5. Step 5: Solve for x
    x = 181,473,742,416.78/461,641.80
  6. Step 6: Final answer
    x = 393,105.09

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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.