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Finding the Fourth Proportional to 473,538.90, 653,497.74 and 258,682.53

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Solution

The fourth proportional to 473,538.90, 653,497.74 and 258,682.53 is: 356,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,538.90 : 653,497.74 = 258,682.53 : x
  2. Step 2: Convert to fraction form
    473,538.90/653,497.74 = 258,682.53/x
  3. Step 3: Cross multiply
    473,538.90x = 653,497.74 × 258,682.53
  4. Step 4: Simplify right side
    473,538.90x = 169,048,448,732.48
  5. Step 5: Solve for x
    x = 169,048,448,732.48/473,538.90
  6. Step 6: Final answer
    x = 356,989.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.