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Finding the Fourth Proportional to 380,348.09, 524,915.58 and 210,582.22

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Solution

The fourth proportional to 380,348.09, 524,915.58 and 210,582.22 is: 290,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,348.09 : 524,915.58 = 210,582.22 : x
  2. Step 2: Convert to fraction form
    380,348.09/524,915.58 = 210,582.22/x
  3. Step 3: Cross multiply
    380,348.09x = 524,915.58 × 210,582.22
  4. Step 4: Simplify right side
    380,348.09x = 110,537,884,471.50
  5. Step 5: Solve for x
    x = 110,537,884,471.50/380,348.09
  6. Step 6: Final answer
    x = 290,622.95

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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.