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Finding the Fourth Proportional to 557,278.98, 769,038.22 and 302,632

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Solution

The fourth proportional to 557,278.98, 769,038.22 and 302,632 is: 417,628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,278.98 : 769,038.22 = 302,632 : x
  2. Step 2: Convert to fraction form
    557,278.98/769,038.22 = 302,632/x
  3. Step 3: Cross multiply
    557,278.98x = 769,038.22 × 302,632
  4. Step 4: Simplify right side
    557,278.98x = 232,735,574,595.04
  5. Step 5: Solve for x
    x = 232,735,574,595.04/557,278.98
  6. Step 6: Final answer
    x = 417,628.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.