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Finding the Fourth Proportional to 384,165.81, 576,100.98 and 265,477.32

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Solution

The fourth proportional to 384,165.81, 576,100.98 and 265,477.32 is: 398,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,165.81 : 576,100.98 = 265,477.32 : x
  2. Step 2: Convert to fraction form
    384,165.81/576,100.98 = 265,477.32/x
  3. Step 3: Cross multiply
    384,165.81x = 576,100.98 × 265,477.32
  4. Step 4: Simplify right side
    384,165.81x = 152,941,744,219.77
  5. Step 5: Solve for x
    x = 152,941,744,219.77/384,165.81
  6. Step 6: Final answer
    x = 398,113.89

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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.