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Finding the Fourth Proportional to 463,311.30, 695,416.35 and 223,593.93

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Solution

The fourth proportional to 463,311.30, 695,416.35 and 223,593.93 is: 335,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,311.30 : 695,416.35 = 223,593.93 : x
  2. Step 2: Convert to fraction form
    463,311.30/695,416.35 = 223,593.93/x
  3. Step 3: Cross multiply
    463,311.30x = 695,416.35 × 223,593.93
  4. Step 4: Simplify right side
    463,311.30x = 155,490,875,521.23
  5. Step 5: Solve for x
    x = 155,490,875,521.23/463,311.30
  6. Step 6: Final answer
    x = 335,607.77

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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.