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Finding the Fourth Proportional to 455,829.60, 684,181.80 and 231,443.40

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Solution

The fourth proportional to 455,829.60, 684,181.80 and 231,443.40 is: 347,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,829.60 : 684,181.80 = 231,443.40 : x
  2. Step 2: Convert to fraction form
    455,829.60/684,181.80 = 231,443.40/x
  3. Step 3: Cross multiply
    455,829.60x = 684,181.80 × 231,443.40
  4. Step 4: Simplify right side
    455,829.60x = 158,349,362,010.12
  5. Step 5: Solve for x
    x = 158,349,362,010.12/455,829.60
  6. Step 6: Final answer
    x = 347,387.19

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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.