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Finding the Fourth Proportional to 335,201.40, 502,802.10 and 298,459.80

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Solution

The fourth proportional to 335,201.40, 502,802.10 and 298,459.80 is: 447,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,201.40 : 502,802.10 = 298,459.80 : x
  2. Step 2: Convert to fraction form
    335,201.40/502,802.10 = 298,459.80/x
  3. Step 3: Cross multiply
    335,201.40x = 502,802.10 × 298,459.80
  4. Step 4: Simplify right side
    335,201.40x = 150,066,214,205.58
  5. Step 5: Solve for x
    x = 150,066,214,205.58/335,201.40
  6. Step 6: Final answer
    x = 447,689.70

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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.