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Finding the Fourth Proportional to 583,633, 805,413.54 and 315,361

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Solution

The fourth proportional to 583,633, 805,413.54 and 315,361 is: 435,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,633 : 805,413.54 = 315,361 : x
  2. Step 2: Convert to fraction form
    583,633/805,413.54 = 315,361/x
  3. Step 3: Cross multiply
    583,633x = 805,413.54 × 315,361
  4. Step 4: Simplify right side
    583,633x = 253,996,019,387.94
  5. Step 5: Solve for x
    x = 253,996,019,387.94/583,633
  6. Step 6: Final answer
    x = 435,198.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.