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Finding the Fourth Proportional to 473,488.01, 710,247.15 and 185,288.23

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Solution

The fourth proportional to 473,488.01, 710,247.15 and 185,288.23 is: 277,938.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,488.01 : 710,247.15 = 185,288.23 : x
  2. Step 2: Convert to fraction form
    473,488.01/710,247.15 = 185,288.23/x
  3. Step 3: Cross multiply
    473,488.01x = 710,247.15 × 185,288.23
  4. Step 4: Simplify right side
    473,488.01x = 131,600,437,286.05
  5. Step 5: Solve for x
    x = 131,600,437,286.05/473,488.01
  6. Step 6: Final answer
    x = 277,938.27

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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.