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Finding the Fourth Proportional to 470,075.82, 705,393.90 and 170,579.77

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Solution

The fourth proportional to 470,075.82, 705,393.90 and 170,579.77 is: 255,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,075.82 : 705,393.90 = 170,579.77 : x
  2. Step 2: Convert to fraction form
    470,075.82/705,393.90 = 170,579.77/x
  3. Step 3: Cross multiply
    470,075.82x = 705,393.90 × 170,579.77
  4. Step 4: Simplify right side
    470,075.82x = 120,325,927,457.92
  5. Step 5: Solve for x
    x = 120,325,927,457.92/470,075.82
  6. Step 6: Final answer
    x = 255,971.32

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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.