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Finding the Fourth Proportional to 261,413.70, 392,509.35 and 202,316.10

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Solution

The fourth proportional to 261,413.70, 392,509.35 and 202,316.10 is: 303,775.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,413.70 : 392,509.35 = 202,316.10 : x
  2. Step 2: Convert to fraction form
    261,413.70/392,509.35 = 202,316.10/x
  3. Step 3: Cross multiply
    261,413.70x = 392,509.35 × 202,316.10
  4. Step 4: Simplify right side
    261,413.70x = 79,410,960,905.54
  5. Step 5: Solve for x
    x = 79,410,960,905.54/261,413.70
  6. Step 6: Final answer
    x = 303,775.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.