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Finding the Fourth Proportional to 705,326.02, 973,647.74 and 476,193.55

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Solution

The fourth proportional to 705,326.02, 973,647.74 and 476,193.55 is: 657,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,326.02 : 973,647.74 = 476,193.55 : x
  2. Step 2: Convert to fraction form
    705,326.02/973,647.74 = 476,193.55/x
  3. Step 3: Cross multiply
    705,326.02x = 973,647.74 × 476,193.55
  4. Step 4: Simplify right side
    705,326.02x = 463,644,773,760.08
  5. Step 5: Solve for x
    x = 463,644,773,760.08/705,326.02
  6. Step 6: Final answer
    x = 657,348.18

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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.