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Finding the Fourth Proportional to 580,303.56, 870,413.54 and 153,829.68

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Solution

The fourth proportional to 580,303.56, 870,413.54 and 153,829.68 is: 230,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,303.56 : 870,413.54 = 153,829.68 : x
  2. Step 2: Convert to fraction form
    580,303.56/870,413.54 = 153,829.68/x
  3. Step 3: Cross multiply
    580,303.56x = 870,413.54 × 153,829.68
  4. Step 4: Simplify right side
    580,303.56x = 133,895,432,725.31
  5. Step 5: Solve for x
    x = 133,895,432,725.31/580,303.56
  6. Step 6: Final answer
    x = 230,733.43

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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.