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Finding the Fourth Proportional to 602,003.62, 830,780.85 and 340,338.10

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Solution

The fourth proportional to 602,003.62, 830,780.85 and 340,338.10 is: 469,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,003.62 : 830,780.85 = 340,338.10 : x
  2. Step 2: Convert to fraction form
    602,003.62/830,780.85 = 340,338.10/x
  3. Step 3: Cross multiply
    602,003.62x = 830,780.85 × 340,338.10
  4. Step 4: Simplify right side
    602,003.62x = 282,746,376,005.39
  5. Step 5: Solve for x
    x = 282,746,376,005.39/602,003.62
  6. Step 6: Final answer
    x = 469,675.54

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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.