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Finding the Fourth Proportional to 442,041.40, 663,407.70 and 205,413.40

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Solution

The fourth proportional to 442,041.40, 663,407.70 and 205,413.40 is: 308,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,041.40 : 663,407.70 = 205,413.40 : x
  2. Step 2: Convert to fraction form
    442,041.40/663,407.70 = 205,413.40/x
  3. Step 3: Cross multiply
    442,041.40x = 663,407.70 × 205,413.40
  4. Step 4: Simplify right side
    442,041.40x = 136,272,831,243.18
  5. Step 5: Solve for x
    x = 136,272,831,243.18/442,041.40
  6. Step 6: Final answer
    x = 308,280.70

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1.5x scale

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.