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Finding the Fourth Proportional to 656,353.50, 905,768.31 and 354,547.50

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Solution

The fourth proportional to 656,353.50, 905,768.31 and 354,547.50 is: 489,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,353.50 : 905,768.31 = 354,547.50 : x
  2. Step 2: Convert to fraction form
    656,353.50/905,768.31 = 354,547.50/x
  3. Step 3: Cross multiply
    656,353.50x = 905,768.31 × 354,547.50
  4. Step 4: Simplify right side
    656,353.50x = 321,137,889,889.73
  5. Step 5: Solve for x
    x = 321,137,889,889.73/656,353.50
  6. Step 6: Final answer
    x = 489,275.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.