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Finding the Fourth Proportional to 584,898.16, 807,153.24 and 330,234.16

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Solution

The fourth proportional to 584,898.16, 807,153.24 and 330,234.16 is: 455,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,898.16 : 807,153.24 = 330,234.16 : x
  2. Step 2: Convert to fraction form
    584,898.16/807,153.24 = 330,234.16/x
  3. Step 3: Cross multiply
    584,898.16x = 807,153.24 × 330,234.16
  4. Step 4: Simplify right side
    584,898.16x = 266,549,572,202.68
  5. Step 5: Solve for x
    x = 266,549,572,202.68/584,898.16
  6. Step 6: Final answer
    x = 455,719.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.