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Finding the Fourth Proportional to 472,902.30, 652,434.64 and 364,039.93

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Solution

The fourth proportional to 472,902.30, 652,434.64 and 364,039.93 is: 502,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,902.30 : 652,434.64 = 364,039.93 : x
  2. Step 2: Convert to fraction form
    472,902.30/652,434.64 = 364,039.93/x
  3. Step 3: Cross multiply
    472,902.30x = 652,434.64 × 364,039.93
  4. Step 4: Simplify right side
    472,902.30x = 237,512,258,133.99
  5. Step 5: Solve for x
    x = 237,512,258,133.99/472,902.30
  6. Step 6: Final answer
    x = 502,243.83

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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.