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Finding the Fourth Proportional to 705,193.24, 973,166.67 and 403,387.24

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Solution

The fourth proportional to 705,193.24, 973,166.67 and 403,387.24 is: 556,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,193.24 : 973,166.67 = 403,387.24 : x
  2. Step 2: Convert to fraction form
    705,193.24/973,166.67 = 403,387.24/x
  3. Step 3: Cross multiply
    705,193.24x = 973,166.67 × 403,387.24
  4. Step 4: Simplify right side
    705,193.24x = 392,563,017,071.29
  5. Step 5: Solve for x
    x = 392,563,017,071.29/705,193.24
  6. Step 6: Final answer
    x = 556,674.39

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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.