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Finding the Fourth Proportional to 473,424.32, 653,300.97 and 258,522.41

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Solution

The fourth proportional to 473,424.32, 653,300.97 and 258,522.41 is: 356,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,424.32 : 653,300.97 = 258,522.41 : x
  2. Step 2: Convert to fraction form
    473,424.32/653,300.97 = 258,522.41/x
  3. Step 3: Cross multiply
    473,424.32x = 653,300.97 × 258,522.41
  4. Step 4: Simplify right side
    473,424.32x = 168,892,941,219.74
  5. Step 5: Solve for x
    x = 168,892,941,219.74/473,424.32
  6. Step 6: Final answer
    x = 356,747.50

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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.