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Finding the Fourth Proportional to 353,273.80, 529,133.10 and 313,875.40

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Solution

The fourth proportional to 353,273.80, 529,133.10 and 313,875.40 is: 470,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,273.80 : 529,133.10 = 313,875.40 : x
  2. Step 2: Convert to fraction form
    353,273.80/529,133.10 = 313,875.40/x
  3. Step 3: Cross multiply
    353,273.80x = 529,133.10 × 313,875.40
  4. Step 4: Simplify right side
    353,273.80x = 166,081,863,415.74
  5. Step 5: Solve for x
    x = 166,081,863,415.74/353,273.80
  6. Step 6: Final answer
    x = 470,122.22

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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.