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Finding the Fourth Proportional to 706,319, 1,052,824.77 and 649,631.96

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Solution

The fourth proportional to 706,319, 1,052,824.77 and 649,631.96 is: 968,328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,319 : 1,052,824.77 = 649,631.96 : x
  2. Step 2: Convert to fraction form
    706,319/1,052,824.77 = 649,631.96/x
  3. Step 3: Cross multiply
    706,319x = 1,052,824.77 × 649,631.96
  4. Step 4: Simplify right side
    706,319x = 683,948,618,871.65
  5. Step 5: Solve for x
    x = 683,948,618,871.65/706,319
  6. Step 6: Final answer
    x = 968,328.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.