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Finding the Fourth Proportional to 355,231.70, 532,388.24 and 265,783.40

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Solution

The fourth proportional to 355,231.70, 532,388.24 and 265,783.40 is: 398,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,231.70 : 532,388.24 = 265,783.40 : x
  2. Step 2: Convert to fraction form
    355,231.70/532,388.24 = 265,783.40/x
  3. Step 3: Cross multiply
    355,231.70x = 532,388.24 × 265,783.40
  4. Step 4: Simplify right side
    355,231.70x = 141,499,956,547.22
  5. Step 5: Solve for x
    x = 141,499,956,547.22/355,231.70
  6. Step 6: Final answer
    x = 398,331.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.