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Finding the Fourth Proportional to 473,816.45, 653,865.14 and 258,956.46

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Solution

The fourth proportional to 473,816.45, 653,865.14 and 258,956.46 is: 357,359.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,816.45 : 653,865.14 = 258,956.46 : x
  2. Step 2: Convert to fraction form
    473,816.45/653,865.14 = 258,956.46/x
  3. Step 3: Cross multiply
    473,816.45x = 653,865.14 × 258,956.46
  4. Step 4: Simplify right side
    473,816.45x = 169,322,602,619.20
  5. Step 5: Solve for x
    x = 169,322,602,619.20/473,816.45
  6. Step 6: Final answer
    x = 357,359.06

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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.