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Finding the Fourth Proportional to 310,073.40, 465,110.10 and 298,263.60

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Solution

The fourth proportional to 310,073.40, 465,110.10 and 298,263.60 is: 447,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,073.40 : 465,110.10 = 298,263.60 : x
  2. Step 2: Convert to fraction form
    310,073.40/465,110.10 = 298,263.60/x
  3. Step 3: Cross multiply
    310,073.40x = 465,110.10 × 298,263.60
  4. Step 4: Simplify right side
    310,073.40x = 138,725,412,822.36
  5. Step 5: Solve for x
    x = 138,725,412,822.36/310,073.40
  6. Step 6: Final answer
    x = 447,395.40

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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.