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Finding the Fourth Proportional to 384,749.68, 577,186.53 and 118,510.07

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Solution

The fourth proportional to 384,749.68, 577,186.53 and 118,510.07 is: 177,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,749.68 : 577,186.53 = 118,510.07 : x
  2. Step 2: Convert to fraction form
    384,749.68/577,186.53 = 118,510.07/x
  3. Step 3: Cross multiply
    384,749.68x = 577,186.53 × 118,510.07
  4. Step 4: Simplify right side
    384,749.68x = 68,402,414,630.39
  5. Step 5: Solve for x
    x = 68,402,414,630.39/384,749.68
  6. Step 6: Final answer
    x = 177,784.20

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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.