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Finding the Fourth Proportional to 464,823.96, 641,478.06 and 364,047

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Solution

The fourth proportional to 464,823.96, 641,478.06 and 364,047 is: 502,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,823.96 : 641,478.06 = 364,047 : x
  2. Step 2: Convert to fraction form
    464,823.96/641,478.06 = 364,047/x
  3. Step 3: Cross multiply
    464,823.96x = 641,478.06 × 364,047
  4. Step 4: Simplify right side
    464,823.96x = 233,528,163,308.82
  5. Step 5: Solve for x
    x = 233,528,163,308.82/464,823.96
  6. Step 6: Final answer
    x = 502,401.30

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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.