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Finding the Fourth Proportional to 468,646.20, 702,969.30 and 450,275.40

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Solution

The fourth proportional to 468,646.20, 702,969.30 and 450,275.40 is: 675,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,646.20 : 702,969.30 = 450,275.40 : x
  2. Step 2: Convert to fraction form
    468,646.20/702,969.30 = 450,275.40/x
  3. Step 3: Cross multiply
    468,646.20x = 702,969.30 × 450,275.40
  4. Step 4: Simplify right side
    468,646.20x = 316,529,782,745.22
  5. Step 5: Solve for x
    x = 316,529,782,745.22/468,646.20
  6. Step 6: Final answer
    x = 675,413.10

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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.