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Finding the Fourth Proportional to 537,075.40, 804,921.90 and 411,795.40

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Solution

The fourth proportional to 537,075.40, 804,921.90 and 411,795.40 is: 617,163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,075.40 : 804,921.90 = 411,795.40 : x
  2. Step 2: Convert to fraction form
    537,075.40/804,921.90 = 411,795.40/x
  3. Step 3: Cross multiply
    537,075.40x = 804,921.90 × 411,795.40
  4. Step 4: Simplify right side
    537,075.40x = 331,463,135,779.26
  5. Step 5: Solve for x
    x = 331,463,135,779.26/537,075.40
  6. Step 6: Final answer
    x = 617,163.13

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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.