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Finding the Fourth Proportional to 461,654.40, 692,092.80 and 240,038.40

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Solution

The fourth proportional to 461,654.40, 692,092.80 and 240,038.40 is: 359,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,654.40 : 692,092.80 = 240,038.40 : x
  2. Step 2: Convert to fraction form
    461,654.40/692,092.80 = 240,038.40/x
  3. Step 3: Cross multiply
    461,654.40x = 692,092.80 × 240,038.40
  4. Step 4: Simplify right side
    461,654.40x = 166,128,848,363.52
  5. Step 5: Solve for x
    x = 166,128,848,363.52/461,654.40
  6. Step 6: Final answer
    x = 359,855.44

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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.