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Finding the Fourth Proportional to 473,451.83, 653,363.51 and 258,592.40

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Solution

The fourth proportional to 473,451.83, 653,363.51 and 258,592.40 is: 356,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,451.83 : 653,363.51 = 258,592.40 : x
  2. Step 2: Convert to fraction form
    473,451.83/653,363.51 = 258,592.40/x
  3. Step 3: Cross multiply
    473,451.83x = 653,363.51 × 258,592.40
  4. Step 4: Simplify right side
    473,451.83x = 168,954,835,502.99
  5. Step 5: Solve for x
    x = 168,954,835,502.99/473,451.83
  6. Step 6: Final answer
    x = 356,857.50

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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.