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Finding the Fourth Proportional to 674,058.42, 929,773.44 and 512,559.40

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Solution

The fourth proportional to 674,058.42, 929,773.44 and 512,559.40 is: 707,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,058.42 : 929,773.44 = 512,559.40 : x
  2. Step 2: Convert to fraction form
    674,058.42/929,773.44 = 512,559.40/x
  3. Step 3: Cross multiply
    674,058.42x = 929,773.44 × 512,559.40
  4. Step 4: Simplify right side
    674,058.42x = 476,564,116,542.34
  5. Step 5: Solve for x
    x = 476,564,116,542.34/674,058.42
  6. Step 6: Final answer
    x = 707,007.14

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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.