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Finding the Fourth Proportional to 557,435.90, 769,580.74 and 367,002.88

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Solution

The fourth proportional to 557,435.90, 769,580.74 and 367,002.88 is: 506,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,435.90 : 769,580.74 = 367,002.88 : x
  2. Step 2: Convert to fraction form
    557,435.90/769,580.74 = 367,002.88/x
  3. Step 3: Cross multiply
    557,435.90x = 769,580.74 × 367,002.88
  4. Step 4: Simplify right side
    557,435.90x = 282,438,347,972.53
  5. Step 5: Solve for x
    x = 282,438,347,972.53/557,435.90
  6. Step 6: Final answer
    x = 506,674.13

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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.