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Finding the Fourth Proportional to 971,515, 1,457,369.72 and 297,588.52

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Solution

The fourth proportional to 971,515, 1,457,369.72 and 297,588.52 is: 446,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,515 : 1,457,369.72 = 297,588.52 : x
  2. Step 2: Convert to fraction form
    971,515/1,457,369.72 = 297,588.52/x
  3. Step 3: Cross multiply
    971,515x = 1,457,369.72 × 297,588.52
  4. Step 4: Simplify right side
    971,515x = 433,696,498,067.61
  5. Step 5: Solve for x
    x = 433,696,498,067.61/971,515
  6. Step 6: Final answer
    x = 446,412.56

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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.