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Finding the Fourth Proportional to 519,882.30, 780,406.65 and 402,075.90

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Solution

The fourth proportional to 519,882.30, 780,406.65 and 402,075.90 is: 603,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,882.30 : 780,406.65 = 402,075.90 : x
  2. Step 2: Convert to fraction form
    519,882.30/780,406.65 = 402,075.90/x
  3. Step 3: Cross multiply
    519,882.30x = 780,406.65 × 402,075.90
  4. Step 4: Simplify right side
    519,882.30x = 313,782,706,164.74
  5. Step 5: Solve for x
    x = 313,782,706,164.74/519,882.30
  6. Step 6: Final answer
    x = 603,564.90

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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.