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Finding the Fourth Proportional to 477,294.02, 658,665.62 and 262,448.00

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Solution

The fourth proportional to 477,294.02, 658,665.62 and 262,448.00 is: 362,178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,294.02 : 658,665.62 = 262,448.00 : x
  2. Step 2: Convert to fraction form
    477,294.02/658,665.62 = 262,448.00/x
  3. Step 3: Cross multiply
    477,294.02x = 658,665.62 × 262,448.00
  4. Step 4: Simplify right side
    477,294.02x = 172,865,474,962.64
  5. Step 5: Solve for x
    x = 172,865,474,962.64/477,294.02
  6. Step 6: Final answer
    x = 362,178.17

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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.