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Finding the Fourth Proportional to 473,380.65, 653,254.92 and 258,521.58

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Solution

The fourth proportional to 473,380.65, 653,254.92 and 258,521.58 is: 356,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,380.65 : 653,254.92 = 258,521.58 : x
  2. Step 2: Convert to fraction form
    473,380.65/653,254.92 = 258,521.58/x
  3. Step 3: Cross multiply
    473,380.65x = 653,254.92 × 258,521.58
  4. Step 4: Simplify right side
    473,380.65x = 168,880,494,061.17
  5. Step 5: Solve for x
    x = 168,880,494,061.17/473,380.65
  6. Step 6: Final answer
    x = 356,754.11

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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.