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Finding the Fourth Proportional to 384,877.80, 577,316.70 and 100,567.80

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Solution

The fourth proportional to 384,877.80, 577,316.70 and 100,567.80 is: 150,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,877.80 : 577,316.70 = 100,567.80 : x
  2. Step 2: Convert to fraction form
    384,877.80/577,316.70 = 100,567.80/x
  3. Step 3: Cross multiply
    384,877.80x = 577,316.70 × 100,567.80
  4. Step 4: Simplify right side
    384,877.80x = 58,059,470,422.26
  5. Step 5: Solve for x
    x = 58,059,470,422.26/384,877.80
  6. Step 6: Final answer
    x = 150,851.70

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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.