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Finding the Fourth Proportional to 805,191, 1,111,163.58 and 465,681.12

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Solution

The fourth proportional to 805,191, 1,111,163.58 and 465,681.12 is: 642,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,191 : 1,111,163.58 = 465,681.12 : x
  2. Step 2: Convert to fraction form
    805,191/1,111,163.58 = 465,681.12/x
  3. Step 3: Cross multiply
    805,191x = 1,111,163.58 × 465,681.12
  4. Step 4: Simplify right side
    805,191x = 517,447,900,437.61
  5. Step 5: Solve for x
    x = 517,447,900,437.61/805,191
  6. Step 6: Final answer
    x = 642,639.95

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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.