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Finding the Fourth Proportional to 459,767.44, 634,474.92 and 258,564.88

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Solution

The fourth proportional to 459,767.44, 634,474.92 and 258,564.88 is: 356,817.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,767.44 : 634,474.92 = 258,564.88 : x
  2. Step 2: Convert to fraction form
    459,767.44/634,474.92 = 258,564.88/x
  3. Step 3: Cross multiply
    459,767.44x = 634,474.92 × 258,564.88
  4. Step 4: Simplify right side
    459,767.44x = 164,052,931,552.81
  5. Step 5: Solve for x
    x = 164,052,931,552.81/459,767.44
  6. Step 6: Final answer
    x = 356,817.20

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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.