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Finding the Fourth Proportional to 385,097.12, 577,164 and 185,364.08

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Solution

The fourth proportional to 385,097.12, 577,164 and 185,364.08 is: 277,814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,097.12 : 577,164 = 185,364.08 : x
  2. Step 2: Convert to fraction form
    385,097.12/577,164 = 185,364.08/x
  3. Step 3: Cross multiply
    385,097.12x = 577,164 × 185,364.08
  4. Step 4: Simplify right side
    385,097.12x = 106,985,473,869.12
  5. Step 5: Solve for x
    x = 106,985,473,869.12/385,097.12
  6. Step 6: Final answer
    x = 277,814.27

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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.