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Finding the Fourth Proportional to 473,718.70, 653,723.88 and 258,853.81

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Solution

The fourth proportional to 473,718.70, 653,723.88 and 258,853.81 is: 357,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,718.70 : 653,723.88 = 258,853.81 : x
  2. Step 2: Convert to fraction form
    473,718.70/653,723.88 = 258,853.81/x
  3. Step 3: Cross multiply
    473,718.70x = 653,723.88 × 258,853.81
  4. Step 4: Simplify right side
    473,718.70x = 169,218,917,025.98
  5. Step 5: Solve for x
    x = 169,218,917,025.98/473,718.70
  6. Step 6: Final answer
    x = 357,213.93

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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.