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Finding the Fourth Proportional to 384,842.34, 577,380.15 and 185,106.06

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Solution

The fourth proportional to 384,842.34, 577,380.15 and 185,106.06 is: 277,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,842.34 : 577,380.15 = 185,106.06 : x
  2. Step 2: Convert to fraction form
    384,842.34/577,380.15 = 185,106.06/x
  3. Step 3: Cross multiply
    384,842.34x = 577,380.15 × 185,106.06
  4. Step 4: Simplify right side
    384,842.34x = 106,876,564,688.71
  5. Step 5: Solve for x
    x = 106,876,564,688.71/384,842.34
  6. Step 6: Final answer
    x = 277,715.19

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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.