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Finding the Fourth Proportional to 707,413.10, 976,476.06 and 420,927.03

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Solution

The fourth proportional to 707,413.10, 976,476.06 and 420,927.03 is: 581,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,413.10 : 976,476.06 = 420,927.03 : x
  2. Step 2: Convert to fraction form
    707,413.10/976,476.06 = 420,927.03/x
  3. Step 3: Cross multiply
    707,413.10x = 976,476.06 × 420,927.03
  4. Step 4: Simplify right side
    707,413.10x = 411,025,167,801.90
  5. Step 5: Solve for x
    x = 411,025,167,801.90/707,413.10
  6. Step 6: Final answer
    x = 581,025.67

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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.