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Finding the Fourth Proportional to 384,952.16, 577,400.48 and 118,684.88

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Solution

The fourth proportional to 384,952.16, 577,400.48 and 118,684.88 is: 178,018.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,952.16 : 577,400.48 = 118,684.88 : x
  2. Step 2: Convert to fraction form
    384,952.16/577,400.48 = 118,684.88/x
  3. Step 3: Cross multiply
    384,952.16x = 577,400.48 × 118,684.88
  4. Step 4: Simplify right side
    384,952.16x = 68,528,706,680.74
  5. Step 5: Solve for x
    x = 68,528,706,680.74/384,952.16
  6. Step 6: Final answer
    x = 178,018.76

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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.