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Finding the Fourth Proportional to 310,467.30, 465,810.30 and 152,590.20

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Solution

The fourth proportional to 310,467.30, 465,810.30 and 152,590.20 is: 228,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,467.30 : 465,810.30 = 152,590.20 : x
  2. Step 2: Convert to fraction form
    310,467.30/465,810.30 = 152,590.20/x
  3. Step 3: Cross multiply
    310,467.30x = 465,810.30 × 152,590.20
  4. Step 4: Simplify right side
    310,467.30x = 71,078,086,839.06
  5. Step 5: Solve for x
    x = 71,078,086,839.06/310,467.30
  6. Step 6: Final answer
    x = 228,939.04

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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.