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Finding the Fourth Proportional to 602,214.60, 903,356.10 and 265,413.48

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Solution

The fourth proportional to 602,214.60, 903,356.10 and 265,413.48 is: 398,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,214.60 : 903,356.10 = 265,413.48 : x
  2. Step 2: Convert to fraction form
    602,214.60/903,356.10 = 265,413.48/x
  3. Step 3: Cross multiply
    602,214.60x = 903,356.10 × 265,413.48
  4. Step 4: Simplify right side
    602,214.60x = 239,762,886,180.23
  5. Step 5: Solve for x
    x = 239,762,886,180.23/602,214.60
  6. Step 6: Final answer
    x = 398,135.29

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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.