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Finding the Fourth Proportional to 462,092.40, 693,138.60 and 407,854.80

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Solution

The fourth proportional to 462,092.40, 693,138.60 and 407,854.80 is: 611,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,092.40 : 693,138.60 = 407,854.80 : x
  2. Step 2: Convert to fraction form
    462,092.40/693,138.60 = 407,854.80/x
  3. Step 3: Cross multiply
    462,092.40x = 693,138.60 × 407,854.80
  4. Step 4: Simplify right side
    462,092.40x = 282,699,905,075.28
  5. Step 5: Solve for x
    x = 282,699,905,075.28/462,092.40
  6. Step 6: Final answer
    x = 611,782.20

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Why These Related Problems?

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