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Finding the Fourth Proportional to 473,207.58, 653,024.70 and 258,345.18

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Solution

The fourth proportional to 473,207.58, 653,024.70 and 258,345.18 is: 356,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,207.58 : 653,024.70 = 258,345.18 : x
  2. Step 2: Convert to fraction form
    473,207.58/653,024.70 = 258,345.18/x
  3. Step 3: Cross multiply
    473,207.58x = 653,024.70 × 258,345.18
  4. Step 4: Simplify right side
    473,207.58x = 168,705,783,665.95
  5. Step 5: Solve for x
    x = 168,705,783,665.95/473,207.58
  6. Step 6: Final answer
    x = 356,515.39

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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.