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Finding the Fourth Proportional to 472,927.86, 653,351.28 and 309,971.04

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Solution

The fourth proportional to 472,927.86, 653,351.28 and 309,971.04 is: 428,225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,927.86 : 653,351.28 = 309,971.04 : x
  2. Step 2: Convert to fraction form
    472,927.86/653,351.28 = 309,971.04/x
  3. Step 3: Cross multiply
    472,927.86x = 653,351.28 × 309,971.04
  4. Step 4: Simplify right side
    472,927.86x = 202,519,975,746.93
  5. Step 5: Solve for x
    x = 202,519,975,746.93/472,927.86
  6. Step 6: Final answer
    x = 428,225.94

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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.