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Finding the Fourth Proportional to 563,323.40, 843,429.90 and 438,907.40

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Solution

The fourth proportional to 563,323.40, 843,429.90 and 438,907.40 is: 657,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,323.40 : 843,429.90 = 438,907.40 : x
  2. Step 2: Convert to fraction form
    563,323.40/843,429.90 = 438,907.40/x
  3. Step 3: Cross multiply
    563,323.40x = 843,429.90 × 438,907.40
  4. Step 4: Simplify right side
    563,323.40x = 370,187,624,491.26
  5. Step 5: Solve for x
    x = 370,187,624,491.26/563,323.40
  6. Step 6: Final answer
    x = 657,149.38

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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.