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Finding the Fourth Proportional to 384,675.84, 577,145.16 and 207,200.88

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Solution

The fourth proportional to 384,675.84, 577,145.16 and 207,200.88 is: 310,872.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,675.84 : 577,145.16 = 207,200.88 : x
  2. Step 2: Convert to fraction form
    384,675.84/577,145.16 = 207,200.88/x
  3. Step 3: Cross multiply
    384,675.84x = 577,145.16 × 207,200.88
  4. Step 4: Simplify right side
    384,675.84x = 119,584,985,039.74
  5. Step 5: Solve for x
    x = 119,584,985,039.74/384,675.84
  6. Step 6: Final answer
    x = 310,872.10

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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.