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Finding the Fourth Proportional to 290,413.40, 435,641.70 and 103,400.60

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Solution

The fourth proportional to 290,413.40, 435,641.70 and 103,400.60 is: 155,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,413.40 : 435,641.70 = 103,400.60 : x
  2. Step 2: Convert to fraction form
    290,413.40/435,641.70 = 103,400.60/x
  3. Step 3: Cross multiply
    290,413.40x = 435,641.70 × 103,400.60
  4. Step 4: Simplify right side
    290,413.40x = 45,045,613,165.02
  5. Step 5: Solve for x
    x = 45,045,613,165.02/290,413.40
  6. Step 6: Final answer
    x = 155,108.59

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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.