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Finding the Fourth Proportional to 497,172.21, 745,179.95 and 284,089.51

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Solution

The fourth proportional to 497,172.21, 745,179.95 and 284,089.51 is: 425,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,172.21 : 745,179.95 = 284,089.51 : x
  2. Step 2: Convert to fraction form
    497,172.21/745,179.95 = 284,089.51/x
  3. Step 3: Cross multiply
    497,172.21x = 745,179.95 × 284,089.51
  4. Step 4: Simplify right side
    497,172.21x = 211,697,801,710.98
  5. Step 5: Solve for x
    x = 211,697,801,710.98/497,172.21
  6. Step 6: Final answer
    x = 425,803.77

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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.