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Finding the Fourth Proportional to 580,303.42, 870,413.33 and 153,829.54

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Solution

The fourth proportional to 580,303.42, 870,413.33 and 153,829.54 is: 230,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,303.42 : 870,413.33 = 153,829.54 : x
  2. Step 2: Convert to fraction form
    580,303.42/870,413.33 = 153,829.54/x
  3. Step 3: Cross multiply
    580,303.42x = 870,413.33 × 153,829.54
  4. Step 4: Simplify right side
    580,303.42x = 133,895,277,874.99
  5. Step 5: Solve for x
    x = 133,895,277,874.99/580,303.42
  6. Step 6: Final answer
    x = 230,733.22

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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.