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Finding the Fourth Proportional to 782,408, 1,079,749.58 and 438,258.68

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Solution

The fourth proportional to 782,408, 1,079,749.58 and 438,258.68 is: 604,811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,408 : 1,079,749.58 = 438,258.68 : x
  2. Step 2: Convert to fraction form
    782,408/1,079,749.58 = 438,258.68/x
  3. Step 3: Cross multiply
    782,408x = 1,079,749.58 × 438,258.68
  4. Step 4: Simplify right side
    782,408x = 473,209,625,661.35
  5. Step 5: Solve for x
    x = 473,209,625,661.35/782,408
  6. Step 6: Final answer
    x = 604,811.84

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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.