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Finding the Fourth Proportional to 365,075.95, 546,870.31 and 297,847.57

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Solution

The fourth proportional to 365,075.95, 546,870.31 and 297,847.57 is: 446,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,075.95 : 546,870.31 = 297,847.57 : x
  2. Step 2: Convert to fraction form
    365,075.95/546,870.31 = 297,847.57/x
  3. Step 3: Cross multiply
    365,075.95x = 546,870.31 × 297,847.57
  4. Step 4: Simplify right side
    365,075.95x = 162,883,992,938.65
  5. Step 5: Solve for x
    x = 162,883,992,938.65/365,075.95
  6. Step 6: Final answer
    x = 446,164.68

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