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Finding the Fourth Proportional to 619,996, 930,002.64 and 176,764

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Solution

The fourth proportional to 619,996, 930,002.64 and 176,764 is: 265,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,996 : 930,002.64 = 176,764 : x
  2. Step 2: Convert to fraction form
    619,996/930,002.64 = 176,764/x
  3. Step 3: Cross multiply
    619,996x = 930,002.64 × 176,764
  4. Step 4: Simplify right side
    619,996x = 164,390,986,656.96
  5. Step 5: Solve for x
    x = 164,390,986,656.96/619,996
  6. Step 6: Final answer
    x = 265,148.46

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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.