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Finding the Fourth Proportional to 314,413.65, 471,324.01 and 156,492.81

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Solution

The fourth proportional to 314,413.65, 471,324.01 and 156,492.81 is: 234,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,413.65 : 471,324.01 = 156,492.81 : x
  2. Step 2: Convert to fraction form
    314,413.65/471,324.01 = 156,492.81/x
  3. Step 3: Cross multiply
    314,413.65x = 471,324.01 × 156,492.81
  4. Step 4: Simplify right side
    314,413.65x = 73,758,818,745.37
  5. Step 5: Solve for x
    x = 73,758,818,745.37/314,413.65
  6. Step 6: Final answer
    x = 234,591.66

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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.