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Finding the Fourth Proportional to 677,223.84, 934,598.32 and 405,239.68

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Solution

The fourth proportional to 677,223.84, 934,598.32 and 405,239.68 is: 559,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,223.84 : 934,598.32 = 405,239.68 : x
  2. Step 2: Convert to fraction form
    677,223.84/934,598.32 = 405,239.68/x
  3. Step 3: Cross multiply
    677,223.84x = 934,598.32 × 405,239.68
  4. Step 4: Simplify right side
    677,223.84x = 378,736,324,125.34
  5. Step 5: Solve for x
    x = 378,736,324,125.34/677,223.84
  6. Step 6: Final answer
    x = 559,248.36

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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.