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Finding the Fourth Proportional to 473,477.84, 653,395.10 and 258,617.84

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Solution

The fourth proportional to 473,477.84, 653,395.10 and 258,617.84 is: 356,890.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,477.84 : 653,395.10 = 258,617.84 : x
  2. Step 2: Convert to fraction form
    473,477.84/653,395.10 = 258,617.84/x
  3. Step 3: Cross multiply
    473,477.84x = 653,395.10 × 258,617.84
  4. Step 4: Simplify right side
    473,477.84x = 168,979,629,428.58
  5. Step 5: Solve for x
    x = 168,979,629,428.58/473,477.84
  6. Step 6: Final answer
    x = 356,890.26

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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.