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Finding the Fourth Proportional to 384,264.20, 530,262.60 and 214,509.08

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Solution

The fourth proportional to 384,264.20, 530,262.60 and 214,509.08 is: 296,010.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,264.20 : 530,262.60 = 214,509.08 : x
  2. Step 2: Convert to fraction form
    384,264.20/530,262.60 = 214,509.08/x
  3. Step 3: Cross multiply
    384,264.20x = 530,262.60 × 214,509.08
  4. Step 4: Simplify right side
    384,264.20x = 113,746,142,484.41
  5. Step 5: Solve for x
    x = 113,746,142,484.41/384,264.20
  6. Step 6: Final answer
    x = 296,010.25

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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.