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Finding the Fourth Proportional to 313,360.13, 470,107.65 and 97,214.47

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Solution

The fourth proportional to 313,360.13, 470,107.65 and 97,214.47 is: 145,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,360.13 : 470,107.65 = 97,214.47 : x
  2. Step 2: Convert to fraction form
    313,360.13/470,107.65 = 97,214.47/x
  3. Step 3: Cross multiply
    313,360.13x = 470,107.65 × 97,214.47
  4. Step 4: Simplify right side
    313,360.13x = 45,701,267,871.34
  5. Step 5: Solve for x
    x = 45,701,267,871.34/313,360.13
  6. Step 6: Final answer
    x = 145,842.64

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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.