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Finding the Fourth Proportional to 491,756.40, 737,807.40 and 176,223.60

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Solution

The fourth proportional to 491,756.40, 737,807.40 and 176,223.60 is: 264,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,756.40 : 737,807.40 = 176,223.60 : x
  2. Step 2: Convert to fraction form
    491,756.40/737,807.40 = 176,223.60/x
  3. Step 3: Cross multiply
    491,756.40x = 737,807.40 × 176,223.60
  4. Step 4: Simplify right side
    491,756.40x = 130,019,076,134.64
  5. Step 5: Solve for x
    x = 130,019,076,134.64/491,756.40
  6. Step 6: Final answer
    x = 264,397.32

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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.