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Finding the Fourth Proportional to 313,765.60, 470,547.28 and 103,353.44

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Solution

The fourth proportional to 313,765.60, 470,547.28 and 103,353.44 is: 154,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,765.60 : 470,547.28 = 103,353.44 : x
  2. Step 2: Convert to fraction form
    313,765.60/470,547.28 = 103,353.44/x
  3. Step 3: Cross multiply
    313,765.60x = 470,547.28 × 103,353.44
  4. Step 4: Simplify right side
    313,765.60x = 48,632,680,070.64
  5. Step 5: Solve for x
    x = 48,632,680,070.64/313,765.60
  6. Step 6: Final answer
    x = 154,996.85

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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.