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Finding the Fourth Proportional to 314,233.10, 472,333.80 and 308,328.20

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Solution

The fourth proportional to 314,233.10, 472,333.80 and 308,328.20 is: 463,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,233.10 : 472,333.80 = 308,328.20 : x
  2. Step 2: Convert to fraction form
    314,233.10/472,333.80 = 308,328.20/x
  3. Step 3: Cross multiply
    314,233.10x = 472,333.80 × 308,328.20
  4. Step 4: Simplify right side
    314,233.10x = 145,633,830,353.16
  5. Step 5: Solve for x
    x = 145,633,830,353.16/314,233.10
  6. Step 6: Final answer
    x = 463,457.96

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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.