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Finding the Fourth Proportional to 462,089.48, 637,676.44 and 258,143.32

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Solution

The fourth proportional to 462,089.48, 637,676.44 and 258,143.32 is: 356,233.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,089.48 : 637,676.44 = 258,143.32 : x
  2. Step 2: Convert to fraction form
    462,089.48/637,676.44 = 258,143.32/x
  3. Step 3: Cross multiply
    462,089.48x = 637,676.44 × 258,143.32
  4. Step 4: Simplify right side
    462,089.48x = 164,611,913,307.38
  5. Step 5: Solve for x
    x = 164,611,913,307.38/462,089.48
  6. Step 6: Final answer
    x = 356,233.85

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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.