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Finding the Fourth Proportional to 347,813.40, 522,353.70 and 304,267.80

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Solution

The fourth proportional to 347,813.40, 522,353.70 and 304,267.80 is: 456,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,813.40 : 522,353.70 = 304,267.80 : x
  2. Step 2: Convert to fraction form
    347,813.40/522,353.70 = 304,267.80/x
  3. Step 3: Cross multiply
    347,813.40x = 522,353.70 × 304,267.80
  4. Step 4: Simplify right side
    347,813.40x = 158,935,411,120.86
  5. Step 5: Solve for x
    x = 158,935,411,120.86/347,813.40
  6. Step 6: Final answer
    x = 456,955.97

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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.