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Finding the Fourth Proportional to 557,695.04, 769,617.10 and 316,023.64

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Solution

The fourth proportional to 557,695.04, 769,617.10 and 316,023.64 is: 436,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,695.04 : 769,617.10 = 316,023.64 : x
  2. Step 2: Convert to fraction form
    557,695.04/769,617.10 = 316,023.64/x
  3. Step 3: Cross multiply
    557,695.04x = 769,617.10 × 316,023.64
  4. Step 4: Simplify right side
    557,695.04x = 243,217,197,348.24
  5. Step 5: Solve for x
    x = 243,217,197,348.24/557,695.04
  6. Step 6: Final answer
    x = 436,111.46

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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.