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Finding the Fourth Proportional to 461,937.40, 692,387.70 and 262,353.40

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Solution

The fourth proportional to 461,937.40, 692,387.70 and 262,353.40 is: 393,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,937.40 : 692,387.70 = 262,353.40 : x
  2. Step 2: Convert to fraction form
    461,937.40/692,387.70 = 262,353.40/x
  3. Step 3: Cross multiply
    461,937.40x = 692,387.70 × 262,353.40
  4. Step 4: Simplify right side
    461,937.40x = 181,650,267,213.18
  5. Step 5: Solve for x
    x = 181,650,267,213.18/461,937.40
  6. Step 6: Final answer
    x = 393,235.68

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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.