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Finding the Fourth Proportional to 532,845.81, 734,978.61 and 317,841.84

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Solution

The fourth proportional to 532,845.81, 734,978.61 and 317,841.84 is: 438,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,845.81 : 734,978.61 = 317,841.84 : x
  2. Step 2: Convert to fraction form
    532,845.81/734,978.61 = 317,841.84/x
  3. Step 3: Cross multiply
    532,845.81x = 734,978.61 × 317,841.84
  4. Step 4: Simplify right side
    532,845.81x = 233,606,953,763.04
  5. Step 5: Solve for x
    x = 233,606,953,763.04/532,845.81
  6. Step 6: Final answer
    x = 438,413.80

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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.