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Finding the Fourth Proportional to 557,237.07, 769,068.38 and 312,238.40

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Solution

The fourth proportional to 557,237.07, 769,068.38 and 312,238.40 is: 430,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,237.07 : 769,068.38 = 312,238.40 : x
  2. Step 2: Convert to fraction form
    557,237.07/769,068.38 = 312,238.40/x
  3. Step 3: Cross multiply
    557,237.07x = 769,068.38 × 312,238.40
  4. Step 4: Simplify right side
    557,237.07x = 240,132,677,397.05
  5. Step 5: Solve for x
    x = 240,132,677,397.05/557,237.07
  6. Step 6: Final answer
    x = 430,934.50

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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.