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Finding the Fourth Proportional to 496,075.46, 684,564.29 and 292,134.98

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Solution

The fourth proportional to 496,075.46, 684,564.29 and 292,134.98 is: 403,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,075.46 : 684,564.29 = 292,134.98 : x
  2. Step 2: Convert to fraction form
    496,075.46/684,564.29 = 292,134.98/x
  3. Step 3: Cross multiply
    496,075.46x = 684,564.29 × 292,134.98
  4. Step 4: Simplify right side
    496,075.46x = 199,985,172,475.38
  5. Step 5: Solve for x
    x = 199,985,172,475.38/496,075.46
  6. Step 6: Final answer
    x = 403,134.58

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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.