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Finding the Fourth Proportional to 314,209.64, 470,945.28 and 145,373.24

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Solution

The fourth proportional to 314,209.64, 470,945.28 and 145,373.24 is: 217,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,209.64 : 470,945.28 = 145,373.24 : x
  2. Step 2: Convert to fraction form
    314,209.64/470,945.28 = 145,373.24/x
  3. Step 3: Cross multiply
    314,209.64x = 470,945.28 × 145,373.24
  4. Step 4: Simplify right side
    314,209.64x = 68,462,838,861.58
  5. Step 5: Solve for x
    x = 68,462,838,861.58/314,209.64
  6. Step 6: Final answer
    x = 217,889.05

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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.