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Finding the Fourth Proportional to 524,847.40, 785,456.70 and 314,636.20

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Solution

The fourth proportional to 524,847.40, 785,456.70 and 314,636.20 is: 470,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,847.40 : 785,456.70 = 314,636.20 : x
  2. Step 2: Convert to fraction form
    524,847.40/785,456.70 = 314,636.20/x
  3. Step 3: Cross multiply
    524,847.40x = 785,456.70 × 314,636.20
  4. Step 4: Simplify right side
    524,847.40x = 247,133,111,352.54
  5. Step 5: Solve for x
    x = 247,133,111,352.54/524,847.40
  6. Step 6: Final answer
    x = 470,866.60

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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.