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Finding the Fourth Proportional to 473,498.50, 653,424.06 and 258,638.62

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Solution

The fourth proportional to 473,498.50, 653,424.06 and 258,638.62 is: 356,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,498.50 : 653,424.06 = 258,638.62 : x
  2. Step 2: Convert to fraction form
    473,498.50/653,424.06 = 258,638.62/x
  3. Step 3: Cross multiply
    473,498.50x = 653,424.06 × 258,638.62
  4. Step 4: Simplify right side
    473,498.50x = 169,000,697,153.20
  5. Step 5: Solve for x
    x = 169,000,697,153.20/473,498.50
  6. Step 6: Final answer
    x = 356,919.18

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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.