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Finding the Fourth Proportional to 365,042.01, 547,703.25 and 257,075.01

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Solution

The fourth proportional to 365,042.01, 547,703.25 and 257,075.01 is: 385,711.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,042.01 : 547,703.25 = 257,075.01 : x
  2. Step 2: Convert to fraction form
    365,042.01/547,703.25 = 257,075.01/x
  3. Step 3: Cross multiply
    365,042.01x = 547,703.25 × 257,075.01
  4. Step 4: Simplify right side
    365,042.01x = 140,800,818,470.78
  5. Step 5: Solve for x
    x = 140,800,818,470.78/365,042.01
  6. Step 6: Final answer
    x = 385,711.27

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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.