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Finding the Fourth Proportional to 620,424.90, 929,653.20 and 409,816.80

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Solution

The fourth proportional to 620,424.90, 929,653.20 and 409,816.80 is: 614,075.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,424.90 : 929,653.20 = 409,816.80 : x
  2. Step 2: Convert to fraction form
    620,424.90/929,653.20 = 409,816.80/x
  3. Step 3: Cross multiply
    620,424.90x = 929,653.20 × 409,816.80
  4. Step 4: Simplify right side
    620,424.90x = 380,987,499,533.76
  5. Step 5: Solve for x
    x = 380,987,499,533.76/620,424.90
  6. Step 6: Final answer
    x = 614,075.13

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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.