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Finding the Fourth Proportional to 811,751.17, 1,216,461.84 and 456,016.45

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Solution

The fourth proportional to 811,751.17, 1,216,461.84 and 456,016.45 is: 683,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,751.17 : 1,216,461.84 = 456,016.45 : x
  2. Step 2: Convert to fraction form
    811,751.17/1,216,461.84 = 456,016.45/x
  3. Step 3: Cross multiply
    811,751.17x = 1,216,461.84 × 456,016.45
  4. Step 4: Simplify right side
    811,751.17x = 554,726,609,837.27
  5. Step 5: Solve for x
    x = 554,726,609,837.27/811,751.17
  6. Step 6: Final answer
    x = 683,370.26

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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.