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Finding the Fourth Proportional to 310,021.40, 465,032.10 and 278,528.60

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Solution

The fourth proportional to 310,021.40, 465,032.10 and 278,528.60 is: 417,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,021.40 : 465,032.10 = 278,528.60 : x
  2. Step 2: Convert to fraction form
    310,021.40/465,032.10 = 278,528.60/x
  3. Step 3: Cross multiply
    310,021.40x = 465,032.10 × 278,528.60
  4. Step 4: Simplify right side
    310,021.40x = 129,524,739,768.06
  5. Step 5: Solve for x
    x = 129,524,739,768.06/310,021.40
  6. Step 6: Final answer
    x = 417,792.90

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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.