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Finding the Fourth Proportional to 654,415, 903,103.98 and 364,049.75

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Solution

The fourth proportional to 654,415, 903,103.98 and 364,049.75 is: 502,394.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,415 : 903,103.98 = 364,049.75 : x
  2. Step 2: Convert to fraction form
    654,415/903,103.98 = 364,049.75/x
  3. Step 3: Cross multiply
    654,415x = 903,103.98 × 364,049.75
  4. Step 4: Simplify right side
    654,415x = 328,774,778,143.01
  5. Step 5: Solve for x
    x = 328,774,778,143.01/654,415
  6. Step 6: Final answer
    x = 502,394.93

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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.