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Finding the Fourth Proportional to 510,413.80, 704,364.10 and 284,059.32

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Solution

The fourth proportional to 510,413.80, 704,364.10 and 284,059.32 is: 391,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,413.80 : 704,364.10 = 284,059.32 : x
  2. Step 2: Convert to fraction form
    510,413.80/704,364.10 = 284,059.32/x
  3. Step 3: Cross multiply
    510,413.80x = 704,364.10 × 284,059.32
  4. Step 4: Simplify right side
    510,413.80x = 200,081,187,278.41
  5. Step 5: Solve for x
    x = 200,081,187,278.41/510,413.80
  6. Step 6: Final answer
    x = 391,998.00

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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.