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Finding the Fourth Proportional to 384,148.80, 575,186.40 and 384,148.80

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Solution

The fourth proportional to 384,148.80, 575,186.40 and 384,148.80 is: 575,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,148.80 : 575,186.40 = 384,148.80 : x
  2. Step 2: Convert to fraction form
    384,148.80/575,186.40 = 384,148.80/x
  3. Step 3: Cross multiply
    384,148.80x = 575,186.40 × 384,148.80
  4. Step 4: Simplify right side
    384,148.80x = 220,957,165,336.32
  5. Step 5: Solve for x
    x = 220,957,165,336.32/384,148.80
  6. Step 6: Final answer
    x = 575,186.40

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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.