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Finding the Fourth Proportional to 716,266.50, 988,588.16 and 410,547.80

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Solution

The fourth proportional to 716,266.50, 988,588.16 and 410,547.80 is: 566,636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,266.50 : 988,588.16 = 410,547.80 : x
  2. Step 2: Convert to fraction form
    716,266.50/988,588.16 = 410,547.80/x
  3. Step 3: Cross multiply
    716,266.50x = 988,588.16 × 410,547.80
  4. Step 4: Simplify right side
    716,266.50x = 405,862,687,198.37
  5. Step 5: Solve for x
    x = 405,862,687,198.37/716,266.50
  6. Step 6: Final answer
    x = 566,636.42

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Why These Related Problems?

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