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Finding the Fourth Proportional to 580,470, 869,673.75 and 495,366.54

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Solution

The fourth proportional to 580,470, 869,673.75 and 495,366.54 is: 742,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,470 : 869,673.75 = 495,366.54 : x
  2. Step 2: Convert to fraction form
    580,470/869,673.75 = 495,366.54/x
  3. Step 3: Cross multiply
    580,470x = 869,673.75 × 495,366.54
  4. Step 4: Simplify right side
    580,470x = 430,807,276,466.33
  5. Step 5: Solve for x
    x = 430,807,276,466.33/580,470
  6. Step 6: Final answer
    x = 742,169.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.