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Finding the Fourth Proportional to 532,084.48, 734,292.14 and 290,382.57

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Solution

The fourth proportional to 532,084.48, 734,292.14 and 290,382.57 is: 400,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,084.48 : 734,292.14 = 290,382.57 : x
  2. Step 2: Convert to fraction form
    532,084.48/734,292.14 = 290,382.57/x
  3. Step 3: Cross multiply
    532,084.48x = 734,292.14 × 290,382.57
  4. Step 4: Simplify right side
    532,084.48x = 213,225,637,292.09
  5. Step 5: Solve for x
    x = 213,225,637,292.09/532,084.48
  6. Step 6: Final answer
    x = 400,736.44

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