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Finding the Fourth Proportional to 448,712.64, 620,029.83 and 341,095.84

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Solution

The fourth proportional to 448,712.64, 620,029.83 and 341,095.84 is: 471,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,712.64 : 620,029.83 = 341,095.84 : x
  2. Step 2: Convert to fraction form
    448,712.64/620,029.83 = 341,095.84/x
  3. Step 3: Cross multiply
    448,712.64x = 620,029.83 × 341,095.84
  4. Step 4: Simplify right side
    448,712.64x = 211,489,596,050.02
  5. Step 5: Solve for x
    x = 211,489,596,050.02/448,712.64
  6. Step 6: Final answer
    x = 471,325.25

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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.