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Finding the Fourth Proportional to 520,898.20, 779,792.10 and 310,427.80

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Solution

The fourth proportional to 520,898.20, 779,792.10 and 310,427.80 is: 464,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,898.20 : 779,792.10 = 310,427.80 : x
  2. Step 2: Convert to fraction form
    520,898.20/779,792.10 = 310,427.80/x
  3. Step 3: Cross multiply
    520,898.20x = 779,792.10 × 310,427.80
  4. Step 4: Simplify right side
    520,898.20x = 242,069,146,060.38
  5. Step 5: Solve for x
    x = 242,069,146,060.38/520,898.20
  6. Step 6: Final answer
    x = 464,714.88

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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.