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Finding the Fourth Proportional to 497,051.30, 744,839.67 and 365,078.18

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Solution

The fourth proportional to 497,051.30, 744,839.67 and 365,078.18 is: 547,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,051.30 : 744,839.67 = 365,078.18 : x
  2. Step 2: Convert to fraction form
    497,051.30/744,839.67 = 365,078.18/x
  3. Step 3: Cross multiply
    497,051.30x = 744,839.67 × 365,078.18
  4. Step 4: Simplify right side
    497,051.30x = 271,924,711,115.40
  5. Step 5: Solve for x
    x = 271,924,711,115.40/497,051.30
  6. Step 6: Final answer
    x = 547,075.75

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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.