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Finding the Fourth Proportional to 389,430, 537,413.43 and 210,582

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Solution

The fourth proportional to 389,430, 537,413.43 and 210,582 is: 290,603.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,430 : 537,413.43 = 210,582 : x
  2. Step 2: Convert to fraction form
    389,430/537,413.43 = 210,582/x
  3. Step 3: Cross multiply
    389,430x = 537,413.43 × 210,582
  4. Step 4: Simplify right side
    389,430x = 113,169,594,916.26
  5. Step 5: Solve for x
    x = 113,169,594,916.26/389,430
  6. Step 6: Final answer
    x = 290,603.18

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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.