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Finding the Fourth Proportional to 704,714.96, 972,442.44 and 418,185.68

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Solution

The fourth proportional to 704,714.96, 972,442.44 and 418,185.68 is: 577,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,714.96 : 972,442.44 = 418,185.68 : x
  2. Step 2: Convert to fraction form
    704,714.96/972,442.44 = 418,185.68/x
  3. Step 3: Cross multiply
    704,714.96x = 972,442.44 × 418,185.68
  4. Step 4: Simplify right side
    704,714.96x = 406,661,503,032.26
  5. Step 5: Solve for x
    x = 406,661,503,032.26/704,714.96
  6. Step 6: Final answer
    x = 577,058.14

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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.