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Finding the Fourth Proportional to 385,252.80, 577,706.40 and 174,782.40

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Solution

The fourth proportional to 385,252.80, 577,706.40 and 174,782.40 is: 262,095.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,252.80 : 577,706.40 = 174,782.40 : x
  2. Step 2: Convert to fraction form
    385,252.80/577,706.40 = 174,782.40/x
  3. Step 3: Cross multiply
    385,252.80x = 577,706.40 × 174,782.40
  4. Step 4: Simplify right side
    385,252.80x = 100,972,911,087.36
  5. Step 5: Solve for x
    x = 100,972,911,087.36/385,252.80
  6. Step 6: Final answer
    x = 262,095.20

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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.