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Finding the Fourth Proportional to 430,895.88, 646,639.02 and 150,413.16

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Solution

The fourth proportional to 430,895.88, 646,639.02 and 150,413.16 is: 225,722.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,895.88 : 646,639.02 = 150,413.16 : x
  2. Step 2: Convert to fraction form
    430,895.88/646,639.02 = 150,413.16/x
  3. Step 3: Cross multiply
    430,895.88x = 646,639.02 × 150,413.16
  4. Step 4: Simplify right side
    430,895.88x = 97,263,018,377.50
  5. Step 5: Solve for x
    x = 97,263,018,377.50/430,895.88
  6. Step 6: Final answer
    x = 225,722.79

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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.