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Finding the Fourth Proportional to 456,239.40, 684,294.30 and 156,733.80

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Solution

The fourth proportional to 456,239.40, 684,294.30 and 156,733.80 is: 235,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,239.40 : 684,294.30 = 156,733.80 : x
  2. Step 2: Convert to fraction form
    456,239.40/684,294.30 = 156,733.80/x
  3. Step 3: Cross multiply
    456,239.40x = 684,294.30 × 156,733.80
  4. Step 4: Simplify right side
    456,239.40x = 107,252,045,957.34
  5. Step 5: Solve for x
    x = 107,252,045,957.34/456,239.40
  6. Step 6: Final answer
    x = 235,078.44

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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.