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Finding the Fourth Proportional to 313,988.46, 470,916.74 and 103,577.10

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Solution

The fourth proportional to 313,988.46, 470,916.74 and 103,577.10 is: 155,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,988.46 : 470,916.74 = 103,577.10 : x
  2. Step 2: Convert to fraction form
    313,988.46/470,916.74 = 103,577.10/x
  3. Step 3: Cross multiply
    313,988.46x = 470,916.74 × 103,577.10
  4. Step 4: Simplify right side
    313,988.46x = 48,776,190,270.65
  5. Step 5: Solve for x
    x = 48,776,190,270.65/313,988.46
  6. Step 6: Final answer
    x = 155,343.89

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Why These Related Problems?

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