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Finding the Fourth Proportional to 557,456.04, 769,608.48 and 367,023

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Solution

The fourth proportional to 557,456.04, 769,608.48 and 367,023 is: 506,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,456.04 : 769,608.48 = 367,023 : x
  2. Step 2: Convert to fraction form
    557,456.04/769,608.48 = 367,023/x
  3. Step 3: Cross multiply
    557,456.04x = 769,608.48 × 367,023
  4. Step 4: Simplify right side
    557,456.04x = 282,464,013,155.04
  5. Step 5: Solve for x
    x = 282,464,013,155.04/557,456.04
  6. Step 6: Final answer
    x = 506,701.86

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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.