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Finding the Fourth Proportional to 442,871.70, 664,307.55 and 147,383.70

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Solution

The fourth proportional to 442,871.70, 664,307.55 and 147,383.70 is: 221,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871.70 : 664,307.55 = 147,383.70 : x
  2. Step 2: Convert to fraction form
    442,871.70/664,307.55 = 147,383.70/x
  3. Step 3: Cross multiply
    442,871.70x = 664,307.55 × 147,383.70
  4. Step 4: Simplify right side
    442,871.70x = 97,908,104,656.94
  5. Step 5: Solve for x
    x = 97,908,104,656.94/442,871.70
  6. Step 6: Final answer
    x = 221,075.55

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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.