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Finding the Fourth Proportional to 313,871.40, 470,807.10 and 166,415.40

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Solution

The fourth proportional to 313,871.40, 470,807.10 and 166,415.40 is: 249,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.40 : 470,807.10 = 166,415.40 : x
  2. Step 2: Convert to fraction form
    313,871.40/470,807.10 = 166,415.40/x
  3. Step 3: Cross multiply
    313,871.40x = 470,807.10 × 166,415.40
  4. Step 4: Simplify right side
    313,871.40x = 78,349,551,869.34
  5. Step 5: Solve for x
    x = 78,349,551,869.34/313,871.40
  6. Step 6: Final answer
    x = 249,623.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.