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Finding the Fourth Proportional to 340,890.69, 470,153.10 and 299,966.46

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Solution

The fourth proportional to 340,890.69, 470,153.10 and 299,966.46 is: 413,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,890.69 : 470,153.10 = 299,966.46 : x
  2. Step 2: Convert to fraction form
    340,890.69/470,153.10 = 299,966.46/x
  3. Step 3: Cross multiply
    340,890.69x = 470,153.10 × 299,966.46
  4. Step 4: Simplify right side
    340,890.69x = 141,030,161,065.03
  5. Step 5: Solve for x
    x = 141,030,161,065.03/340,890.69
  6. Step 6: Final answer
    x = 413,710.80

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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.