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Finding the Fourth Proportional to 277,461.86, 382,803.71 and 180,621.50

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Solution

The fourth proportional to 277,461.86, 382,803.71 and 180,621.50 is: 249,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,461.86 : 382,803.71 = 180,621.50 : x
  2. Step 2: Convert to fraction form
    277,461.86/382,803.71 = 180,621.50/x
  3. Step 3: Cross multiply
    277,461.86x = 382,803.71 × 180,621.50
  4. Step 4: Simplify right side
    277,461.86x = 69,142,577,488.64
  5. Step 5: Solve for x
    x = 69,142,577,488.64/277,461.86
  6. Step 6: Final answer
    x = 249,196.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.