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Finding the Fourth Proportional to 469,784.60, 704,885.70 and 189,848.60

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Solution

The fourth proportional to 469,784.60, 704,885.70 and 189,848.60 is: 284,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,784.60 : 704,885.70 = 189,848.60 : x
  2. Step 2: Convert to fraction form
    469,784.60/704,885.70 = 189,848.60/x
  3. Step 3: Cross multiply
    469,784.60x = 704,885.70 × 189,848.60
  4. Step 4: Simplify right side
    469,784.60x = 133,821,563,305.02
  5. Step 5: Solve for x
    x = 133,821,563,305.02/469,784.60
  6. Step 6: Final answer
    x = 284,857.28

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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.