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Finding the Fourth Proportional to 596,438.16, 823,107.30 and 341,838.48

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Solution

The fourth proportional to 596,438.16, 823,107.30 and 341,838.48 is: 471,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,438.16 : 823,107.30 = 341,838.48 : x
  2. Step 2: Convert to fraction form
    596,438.16/823,107.30 = 341,838.48/x
  3. Step 3: Cross multiply
    596,438.16x = 823,107.30 × 341,838.48
  4. Step 4: Simplify right side
    596,438.16x = 281,369,748,308.90
  5. Step 5: Solve for x
    x = 281,369,748,308.90/596,438.16
  6. Step 6: Final answer
    x = 471,750.08

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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.