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Finding the Fourth Proportional to 683,044.40, 942,161.40 and 414,772.40

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Solution

The fourth proportional to 683,044.40, 942,161.40 and 414,772.40 is: 572,118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,044.40 : 942,161.40 = 414,772.40 : x
  2. Step 2: Convert to fraction form
    683,044.40/942,161.40 = 414,772.40/x
  3. Step 3: Cross multiply
    683,044.40x = 942,161.40 × 414,772.40
  4. Step 4: Simplify right side
    683,044.40x = 390,782,545,065.36
  5. Step 5: Solve for x
    x = 390,782,545,065.36/683,044.40
  6. Step 6: Final answer
    x = 572,118.80

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1.5x scale

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.