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Finding the Fourth Proportional to 473,718.54, 653,733.29 and 258,858.61

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Solution

The fourth proportional to 473,718.54, 653,733.29 and 258,858.61 is: 357,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,718.54 : 653,733.29 = 258,858.61 : x
  2. Step 2: Convert to fraction form
    473,718.54/653,733.29 = 258,858.61/x
  3. Step 3: Cross multiply
    473,718.54x = 653,733.29 × 258,858.61
  4. Step 4: Simplify right side
    473,718.54x = 169,224,489,772.94
  5. Step 5: Solve for x
    x = 169,224,489,772.94/473,718.54
  6. Step 6: Final answer
    x = 357,225.81

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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.