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Finding the Fourth Proportional to 706,109.08, 973,494.30 and 584,803.48

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Solution

The fourth proportional to 706,109.08, 973,494.30 and 584,803.48 is: 806,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,109.08 : 973,494.30 = 584,803.48 : x
  2. Step 2: Convert to fraction form
    706,109.08/973,494.30 = 584,803.48/x
  3. Step 3: Cross multiply
    706,109.08x = 973,494.30 × 584,803.48
  4. Step 4: Simplify right side
    706,109.08x = 569,302,854,400.16
  5. Step 5: Solve for x
    x = 569,302,854,400.16/706,109.08
  6. Step 6: Final answer
    x = 806,253.41

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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.