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Finding the Fourth Proportional to 601,497.59, 830,034.89 and 343,364.30

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Solution

The fourth proportional to 601,497.59, 830,034.89 and 343,364.30 is: 473,824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,497.59 : 830,034.89 = 343,364.30 : x
  2. Step 2: Convert to fraction form
    601,497.59/830,034.89 = 343,364.30/x
  3. Step 3: Cross multiply
    601,497.59x = 830,034.89 × 343,364.30
  4. Step 4: Simplify right side
    601,497.59x = 285,004,344,830.25
  5. Step 5: Solve for x
    x = 285,004,344,830.25/601,497.59
  6. Step 6: Final answer
    x = 473,824.58

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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.