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Finding the Fourth Proportional to 353,457.80, 529,409.10 and 314,059.40

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Solution

The fourth proportional to 353,457.80, 529,409.10 and 314,059.40 is: 470,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,457.80 : 529,409.10 = 314,059.40 : x
  2. Step 2: Convert to fraction form
    353,457.80/529,409.10 = 314,059.40/x
  3. Step 3: Cross multiply
    353,457.80x = 529,409.10 × 314,059.40
  4. Step 4: Simplify right side
    353,457.80x = 166,265,904,300.54
  5. Step 5: Solve for x
    x = 166,265,904,300.54/353,457.80
  6. Step 6: Final answer
    x = 470,398.18

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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.