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Finding the Fourth Proportional to 656,413.60, 984,026.40 and 456,829.60

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Solution

The fourth proportional to 656,413.60, 984,026.40 and 456,829.60 is: 684,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,413.60 : 984,026.40 = 456,829.60 : x
  2. Step 2: Convert to fraction form
    656,413.60/984,026.40 = 456,829.60/x
  3. Step 3: Cross multiply
    656,413.60x = 984,026.40 × 456,829.60
  4. Step 4: Simplify right side
    656,413.60x = 449,532,386,701.44
  5. Step 5: Solve for x
    x = 449,532,386,701.44/656,413.60
  6. Step 6: Final answer
    x = 684,831.01

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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.