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Finding the Fourth Proportional to 746,253, 1,029,829.14 and 406,722.06

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Solution

The fourth proportional to 746,253, 1,029,829.14 and 406,722.06 is: 561,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,253 : 1,029,829.14 = 406,722.06 : x
  2. Step 2: Convert to fraction form
    746,253/1,029,829.14 = 406,722.06/x
  3. Step 3: Cross multiply
    746,253x = 1,029,829.14 × 406,722.06
  4. Step 4: Simplify right side
    746,253x = 418,854,229,268.83
  5. Step 5: Solve for x
    x = 418,854,229,268.83/746,253
  6. Step 6: Final answer
    x = 561,276.44

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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.