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Finding the Fourth Proportional to 314,030.44, 470,999.22 and 103,670.20

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Solution

The fourth proportional to 314,030.44, 470,999.22 and 103,670.20 is: 155,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,030.44 : 470,999.22 = 103,670.20 : x
  2. Step 2: Convert to fraction form
    314,030.44/470,999.22 = 103,670.20/x
  3. Step 3: Cross multiply
    314,030.44x = 470,999.22 × 103,670.20
  4. Step 4: Simplify right side
    314,030.44x = 48,828,583,337.24
  5. Step 5: Solve for x
    x = 48,828,583,337.24/314,030.44
  6. Step 6: Final answer
    x = 155,489.97

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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.