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Finding the Fourth Proportional to 602,105.17, 830,101.32 and 478,336.81

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Solution

The fourth proportional to 602,105.17, 830,101.32 and 478,336.81 is: 659,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,105.17 : 830,101.32 = 478,336.81 : x
  2. Step 2: Convert to fraction form
    602,105.17/830,101.32 = 478,336.81/x
  3. Step 3: Cross multiply
    602,105.17x = 830,101.32 × 478,336.81
  4. Step 4: Simplify right side
    602,105.17x = 397,068,016,461.10
  5. Step 5: Solve for x
    x = 397,068,016,461.10/602,105.17
  6. Step 6: Final answer
    x = 659,466.21

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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.