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Finding the Fourth Proportional to 826,321, 1,239,688.86 and 235,345

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Solution

The fourth proportional to 826,321, 1,239,688.86 and 235,345 is: 353,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,321 : 1,239,688.86 = 235,345 : x
  2. Step 2: Convert to fraction form
    826,321/1,239,688.86 = 235,345/x
  3. Step 3: Cross multiply
    826,321x = 1,239,688.86 × 235,345
  4. Step 4: Simplify right side
    826,321x = 291,754,574,756.70
  5. Step 5: Solve for x
    x = 291,754,574,756.70/826,321
  6. Step 6: Final answer
    x = 353,076.56

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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.