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Finding the Fourth Proportional to 469,237, 646,830.48 and 287,612.32

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Solution

The fourth proportional to 469,237, 646,830.48 and 287,612.32 is: 396,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,237 : 646,830.48 = 287,612.32 : x
  2. Step 2: Convert to fraction form
    469,237/646,830.48 = 287,612.32/x
  3. Step 3: Cross multiply
    469,237x = 646,830.48 × 287,612.32
  4. Step 4: Simplify right side
    469,237x = 186,036,414,999.51
  5. Step 5: Solve for x
    x = 186,036,414,999.51/469,237
  6. Step 6: Final answer
    x = 396,465.78

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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.