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Finding the Fourth Proportional to 427,923.52, 590,554.74 and 258,154

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Solution

The fourth proportional to 427,923.52, 590,554.74 and 258,154 is: 356,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,923.52 : 590,554.74 = 258,154 : x
  2. Step 2: Convert to fraction form
    427,923.52/590,554.74 = 258,154/x
  3. Step 3: Cross multiply
    427,923.52x = 590,554.74 × 258,154
  4. Step 4: Simplify right side
    427,923.52x = 152,454,068,349.96
  5. Step 5: Solve for x
    x = 152,454,068,349.96/427,923.52
  6. Step 6: Final answer
    x = 356,264.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.