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Finding the Fourth Proportional to 476,075.60, 713,609.40 and 176,363.60

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Solution

The fourth proportional to 476,075.60, 713,609.40 and 176,363.60 is: 264,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,075.60 : 713,609.40 = 176,363.60 : x
  2. Step 2: Convert to fraction form
    476,075.60/713,609.40 = 176,363.60/x
  3. Step 3: Cross multiply
    476,075.60x = 713,609.40 × 176,363.60
  4. Step 4: Simplify right side
    476,075.60x = 125,854,722,777.84
  5. Step 5: Solve for x
    x = 125,854,722,777.84/476,075.60
  6. Step 6: Final answer
    x = 264,358.69

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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.