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Finding the Fourth Proportional to 1,257,618, 1,735,413.20 and 713,753.76

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Solution

The fourth proportional to 1,257,618, 1,735,413.20 and 713,753.76 is: 984,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,618 : 1,735,413.20 = 713,753.76 : x
  2. Step 2: Convert to fraction form
    1,257,618/1,735,413.20 = 713,753.76/x
  3. Step 3: Cross multiply
    1,257,618x = 1,735,413.20 × 713,753.76
  4. Step 4: Simplify right side
    1,257,618x = 1,238,657,696,653.63
  5. Step 5: Solve for x
    x = 1,238,657,696,653.63/1,257,618
  6. Step 6: Final answer
    x = 984,923.64

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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.