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Finding the Fourth Proportional to 385,661.76, 577,495.80 and 266,087.40

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Solution

The fourth proportional to 385,661.76, 577,495.80 and 266,087.40 is: 398,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,661.76 : 577,495.80 = 266,087.40 : x
  2. Step 2: Convert to fraction form
    385,661.76/577,495.80 = 266,087.40/x
  3. Step 3: Cross multiply
    385,661.76x = 577,495.80 × 266,087.40
  4. Step 4: Simplify right side
    385,661.76x = 153,664,355,932.92
  5. Step 5: Solve for x
    x = 153,664,355,932.92/385,661.76
  6. Step 6: Final answer
    x = 398,443.33

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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.