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Finding the Fourth Proportional to 602,106.58, 830,997.93 and 384,408.28

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Solution

The fourth proportional to 602,106.58, 830,997.93 and 384,408.28 is: 530,541.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,106.58 : 830,997.93 = 384,408.28 : x
  2. Step 2: Convert to fraction form
    602,106.58/830,997.93 = 384,408.28/x
  3. Step 3: Cross multiply
    602,106.58x = 830,997.93 × 384,408.28
  4. Step 4: Simplify right side
    602,106.58x = 319,442,484,954.86
  5. Step 5: Solve for x
    x = 319,442,484,954.86/602,106.58
  6. Step 6: Final answer
    x = 530,541.43

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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.