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Finding the Fourth Proportional to 894,527.68, 1,342,413.60 and 578,200

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Solution

The fourth proportional to 894,527.68, 1,342,413.60 and 578,200 is: 867,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,527.68 : 1,342,413.60 = 578,200 : x
  2. Step 2: Convert to fraction form
    894,527.68/1,342,413.60 = 578,200/x
  3. Step 3: Cross multiply
    894,527.68x = 1,342,413.60 × 578,200
  4. Step 4: Simplify right side
    894,527.68x = 776,183,543,520
  5. Step 5: Solve for x
    x = 776,183,543,520/894,527.68
  6. Step 6: Final answer
    x = 867,702.10

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Why These Related Problems?

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