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Finding the Fourth Proportional to 440,412.10, 617,821.10 and 440,412.10

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Solution

The fourth proportional to 440,412.10, 617,821.10 and 440,412.10 is: 617,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,412.10 : 617,821.10 = 440,412.10 : x
  2. Step 2: Convert to fraction form
    440,412.10/617,821.10 = 440,412.10/x
  3. Step 3: Cross multiply
    440,412.10x = 617,821.10 × 440,412.10
  4. Step 4: Simplify right side
    440,412.10x = 272,095,888,075.31
  5. Step 5: Solve for x
    x = 272,095,888,075.31/440,412.10
  6. Step 6: Final answer
    x = 617,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.