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Finding the Fourth Proportional to 476,448.75, 714,673.13 and 144,024.75

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Solution

The fourth proportional to 476,448.75, 714,673.13 and 144,024.75 is: 216,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,448.75 : 714,673.13 = 144,024.75 : x
  2. Step 2: Convert to fraction form
    476,448.75/714,673.13 = 144,024.75/x
  3. Step 3: Cross multiply
    476,448.75x = 714,673.13 × 144,024.75
  4. Step 4: Simplify right side
    476,448.75x = 102,930,618,159.84
  5. Step 5: Solve for x
    x = 102,930,618,159.84/476,448.75
  6. Step 6: Final answer
    x = 216,037.13

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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.