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Finding the Fourth Proportional to 417,091.83, 575,506.52 and 264,022.35

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Solution

The fourth proportional to 417,091.83, 575,506.52 and 264,022.35 is: 364,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,091.83 : 575,506.52 = 264,022.35 : x
  2. Step 2: Convert to fraction form
    417,091.83/575,506.52 = 264,022.35/x
  3. Step 3: Cross multiply
    417,091.83x = 575,506.52 × 264,022.35
  4. Step 4: Simplify right side
    417,091.83x = 151,946,582,530.61
  5. Step 5: Solve for x
    x = 151,946,582,530.61/417,091.83
  6. Step 6: Final answer
    x = 364,300.07

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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.