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Finding the Fourth Proportional to 469,235, 646,827.72 and 287,610.32

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Solution

The fourth proportional to 469,235, 646,827.72 and 287,610.32 is: 396,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,235 : 646,827.72 = 287,610.32 : x
  2. Step 2: Convert to fraction form
    469,235/646,827.72 = 287,610.32/x
  3. Step 3: Cross multiply
    469,235x = 646,827.72 × 287,610.32
  4. Step 4: Simplify right side
    469,235x = 186,034,327,534.07
  5. Step 5: Solve for x
    x = 186,034,327,534.07/469,235
  6. Step 6: Final answer
    x = 396,463.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.