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Finding the Fourth Proportional to 437,336.80, 656,264.40 and 288,005.20

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Solution

The fourth proportional to 437,336.80, 656,264.40 and 288,005.20 is: 432,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,336.80 : 656,264.40 = 288,005.20 : x
  2. Step 2: Convert to fraction form
    437,336.80/656,264.40 = 288,005.20/x
  3. Step 3: Cross multiply
    437,336.80x = 656,264.40 × 288,005.20
  4. Step 4: Simplify right side
    437,336.80x = 189,007,559,774.88
  5. Step 5: Solve for x
    x = 189,007,559,774.88/437,336.80
  6. Step 6: Final answer
    x = 432,178.49

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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.