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Finding the Fourth Proportional to 307,020.63, 460,547.34 and 96,674.97

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Solution

The fourth proportional to 307,020.63, 460,547.34 and 96,674.97 is: 145,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,020.63 : 460,547.34 = 96,674.97 : x
  2. Step 2: Convert to fraction form
    307,020.63/460,547.34 = 96,674.97/x
  3. Step 3: Cross multiply
    307,020.63x = 460,547.34 × 96,674.97
  4. Step 4: Simplify right side
    307,020.63x = 44,523,400,278.08
  5. Step 5: Solve for x
    x = 44,523,400,278.08/307,020.63
  6. Step 6: Final answer
    x = 145,017.62

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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.