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Finding the Fourth Proportional to 460,530.88, 690,889.48 and 194,292

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Solution

The fourth proportional to 460,530.88, 690,889.48 and 194,292 is: 291,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,530.88 : 690,889.48 = 194,292 : x
  2. Step 2: Convert to fraction form
    460,530.88/690,889.48 = 194,292/x
  3. Step 3: Cross multiply
    460,530.88x = 690,889.48 × 194,292
  4. Step 4: Simplify right side
    460,530.88x = 134,234,298,848.16
  5. Step 5: Solve for x
    x = 134,234,298,848.16/460,530.88
  6. Step 6: Final answer
    x = 291,477.30

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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.