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Finding the Fourth Proportional to 415,821.06, 573,830.28 and 234,534.49

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Solution

The fourth proportional to 415,821.06, 573,830.28 and 234,534.49 is: 323,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,821.06 : 573,830.28 = 234,534.49 : x
  2. Step 2: Convert to fraction form
    415,821.06/573,830.28 = 234,534.49/x
  3. Step 3: Cross multiply
    415,821.06x = 573,830.28 × 234,534.49
  4. Step 4: Simplify right side
    415,821.06x = 134,582,990,631.78
  5. Step 5: Solve for x
    x = 134,582,990,631.78/415,821.06
  6. Step 6: Final answer
    x = 323,656.02

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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.