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Finding the Fourth Proportional to 557,340.83, 769,177.77 and 315,666.39

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Solution

The fourth proportional to 557,340.83, 769,177.77 and 315,666.39 is: 435,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,340.83 : 769,177.77 = 315,666.39 : x
  2. Step 2: Convert to fraction form
    557,340.83/769,177.77 = 315,666.39/x
  3. Step 3: Cross multiply
    557,340.83x = 769,177.77 × 315,666.39
  4. Step 4: Simplify right side
    557,340.83x = 242,803,569,924.15
  5. Step 5: Solve for x
    x = 242,803,569,924.15/557,340.83
  6. Step 6: Final answer
    x = 435,646.48

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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.