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Finding the Fourth Proportional to 553,685.40, 828,559.80 and 384,411.60

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Solution

The fourth proportional to 553,685.40, 828,559.80 and 384,411.60 is: 575,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,685.40 : 828,559.80 = 384,411.60 : x
  2. Step 2: Convert to fraction form
    553,685.40/828,559.80 = 384,411.60/x
  3. Step 3: Cross multiply
    553,685.40x = 828,559.80 × 384,411.60
  4. Step 4: Simplify right side
    553,685.40x = 318,507,998,413.68
  5. Step 5: Solve for x
    x = 318,507,998,413.68/553,685.40
  6. Step 6: Final answer
    x = 575,250.85

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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.