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Finding the Fourth Proportional to 307,594.86, 424,451.44 and 186,802.32

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Solution

The fourth proportional to 307,594.86, 424,451.44 and 186,802.32 is: 257,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,594.86 : 424,451.44 = 186,802.32 : x
  2. Step 2: Convert to fraction form
    307,594.86/424,451.44 = 186,802.32/x
  3. Step 3: Cross multiply
    307,594.86x = 424,451.44 × 186,802.32
  4. Step 4: Simplify right side
    307,594.86x = 79,288,513,719.34
  5. Step 5: Solve for x
    x = 79,288,513,719.34/307,594.86
  6. Step 6: Final answer
    x = 257,769.31

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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.