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Finding the Fourth Proportional to 680,264.98, 1,020,044.50 and 200,430.49

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Solution

The fourth proportional to 680,264.98, 1,020,044.50 and 200,430.49 is: 300,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,264.98 : 1,020,044.50 = 200,430.49 : x
  2. Step 2: Convert to fraction form
    680,264.98/1,020,044.50 = 200,430.49/x
  3. Step 3: Cross multiply
    680,264.98x = 1,020,044.50 × 200,430.49
  4. Step 4: Simplify right side
    680,264.98x = 204,448,018,956.81
  5. Step 5: Solve for x
    x = 204,448,018,956.81/680,264.98
  6. Step 6: Final answer
    x = 300,541.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.