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Finding the Fourth Proportional to 411,478.37, 567,840.98 and 230,193.32

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Solution

The fourth proportional to 411,478.37, 567,840.98 and 230,193.32 is: 317,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,478.37 : 567,840.98 = 230,193.32 : x
  2. Step 2: Convert to fraction form
    411,478.37/567,840.98 = 230,193.32/x
  3. Step 3: Cross multiply
    411,478.37x = 567,840.98 × 230,193.32
  4. Step 4: Simplify right side
    411,478.37x = 130,713,202,413.34
  5. Step 5: Solve for x
    x = 130,713,202,413.34/411,478.37
  6. Step 6: Final answer
    x = 317,667.25

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1.5x scale

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.