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Finding the Fourth Proportional to 473,669.90, 710,504.85 and 422,060.30

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Solution

The fourth proportional to 473,669.90, 710,504.85 and 422,060.30 is: 633,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,669.90 : 710,504.85 = 422,060.30 : x
  2. Step 2: Convert to fraction form
    473,669.90/710,504.85 = 422,060.30/x
  3. Step 3: Cross multiply
    473,669.90x = 710,504.85 × 422,060.30
  4. Step 4: Simplify right side
    473,669.90x = 299,875,890,142.46
  5. Step 5: Solve for x
    x = 299,875,890,142.46/473,669.90
  6. Step 6: Final answer
    x = 633,090.45

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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.