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Finding the Fourth Proportional to 705,200.52, 973,039.86 and 418,810.44

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Solution

The fourth proportional to 705,200.52, 973,039.86 and 418,810.44 is: 577,877.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,200.52 : 973,039.86 = 418,810.44 : x
  2. Step 2: Convert to fraction form
    705,200.52/973,039.86 = 418,810.44/x
  3. Step 3: Cross multiply
    705,200.52x = 973,039.86 × 418,810.44
  4. Step 4: Simplify right side
    705,200.52x = 407,519,251,904.14
  5. Step 5: Solve for x
    x = 407,519,251,904.14/705,200.52
  6. Step 6: Final answer
    x = 577,877.13

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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.