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Finding the Fourth Proportional to 415,044.60, 622,566.90 and 310,068.60

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Solution

The fourth proportional to 415,044.60, 622,566.90 and 310,068.60 is: 465,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,044.60 : 622,566.90 = 310,068.60 : x
  2. Step 2: Convert to fraction form
    415,044.60/622,566.90 = 310,068.60/x
  3. Step 3: Cross multiply
    415,044.60x = 622,566.90 × 310,068.60
  4. Step 4: Simplify right side
    415,044.60x = 193,038,447,089.34
  5. Step 5: Solve for x
    x = 193,038,447,089.34/415,044.60
  6. Step 6: Final answer
    x = 465,102.90

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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.