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Finding the Fourth Proportional to 492,074.60, 737,075.10 and 409,130.60

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Solution

The fourth proportional to 492,074.60, 737,075.10 and 409,130.60 is: 612,833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,074.60 : 737,075.10 = 409,130.60 : x
  2. Step 2: Convert to fraction form
    492,074.60/737,075.10 = 409,130.60/x
  3. Step 3: Cross multiply
    492,074.60x = 737,075.10 × 409,130.60
  4. Step 4: Simplify right side
    492,074.60x = 301,559,977,908.06
  5. Step 5: Solve for x
    x = 301,559,977,908.06/492,074.60
  6. Step 6: Final answer
    x = 612,833.86

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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.