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Finding the Fourth Proportional to 564,823.54, 847,351.95 and 165,477.34

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Solution

The fourth proportional to 564,823.54, 847,351.95 and 165,477.34 is: 248,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,823.54 : 847,351.95 = 165,477.34 : x
  2. Step 2: Convert to fraction form
    564,823.54/847,351.95 = 165,477.34/x
  3. Step 3: Cross multiply
    564,823.54x = 847,351.95 × 165,477.34
  4. Step 4: Simplify right side
    564,823.54x = 140,217,546,729.81
  5. Step 5: Solve for x
    x = 140,217,546,729.81/564,823.54
  6. Step 6: Final answer
    x = 248,250.18

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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.