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Finding the Fourth Proportional to 511,413.62, 706,053.54 and 454,668.26

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Solution

The fourth proportional to 511,413.62, 706,053.54 and 454,668.26 is: 627,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,413.62 : 706,053.54 = 454,668.26 : x
  2. Step 2: Convert to fraction form
    511,413.62/706,053.54 = 454,668.26/x
  3. Step 3: Cross multiply
    511,413.62x = 706,053.54 × 454,668.26
  4. Step 4: Simplify right side
    511,413.62x = 321,020,134,498.64
  5. Step 5: Solve for x
    x = 321,020,134,498.64/511,413.62
  6. Step 6: Final answer
    x = 627,711.35

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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.