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Finding the Fourth Proportional to 411,413.24, 567,802.79 and 230,135.24

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Solution

The fourth proportional to 411,413.24, 567,802.79 and 230,135.24 is: 317,616.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,413.24 : 567,802.79 = 230,135.24 : x
  2. Step 2: Convert to fraction form
    411,413.24/567,802.79 = 230,135.24/x
  3. Step 3: Cross multiply
    411,413.24x = 567,802.79 × 230,135.24
  4. Step 4: Simplify right side
    411,413.24x = 130,671,427,359.63
  5. Step 5: Solve for x
    x = 130,671,427,359.63/411,413.24
  6. Step 6: Final answer
    x = 317,616.00

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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.