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Finding the Fourth Proportional to 557,695.26, 769,617.45 and 316,024.02

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Solution

The fourth proportional to 557,695.26, 769,617.45 and 316,024.02 is: 436,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,695.26 : 769,617.45 = 316,024.02 : x
  2. Step 2: Convert to fraction form
    557,695.26/769,617.45 = 316,024.02/x
  3. Step 3: Cross multiply
    557,695.26x = 769,617.45 × 316,024.02
  4. Step 4: Simplify right side
    557,695.26x = 243,217,600,411.15
  5. Step 5: Solve for x
    x = 243,217,600,411.15/557,695.26
  6. Step 6: Final answer
    x = 436,112.01

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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.