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Finding the Fourth Proportional to 654,061.76, 902,043.20 and 424,392.80

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Solution

The fourth proportional to 654,061.76, 902,043.20 and 424,392.80 is: 585,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,061.76 : 902,043.20 = 424,392.80 : x
  2. Step 2: Convert to fraction form
    654,061.76/902,043.20 = 424,392.80/x
  3. Step 3: Cross multiply
    654,061.76x = 902,043.20 × 424,392.80
  4. Step 4: Simplify right side
    654,061.76x = 382,820,639,368.96
  5. Step 5: Solve for x
    x = 382,820,639,368.96/654,061.76
  6. Step 6: Final answer
    x = 585,297.39

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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.