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Finding the Fourth Proportional to 570,596.49, 787,413.54 and 315,942.21

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Solution

The fourth proportional to 570,596.49, 787,413.54 and 315,942.21 is: 435,994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,596.49 : 787,413.54 = 315,942.21 : x
  2. Step 2: Convert to fraction form
    570,596.49/787,413.54 = 315,942.21/x
  3. Step 3: Cross multiply
    570,596.49x = 787,413.54 × 315,942.21
  4. Step 4: Simplify right side
    570,596.49x = 248,777,174,011.52
  5. Step 5: Solve for x
    x = 248,777,174,011.52/570,596.49
  6. Step 6: Final answer
    x = 435,994.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.