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Finding the Fourth Proportional to 473,474.72, 710,330.16 and 141,047.84

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Solution

The fourth proportional to 473,474.72, 710,330.16 and 141,047.84 is: 211,606.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,474.72 : 710,330.16 = 141,047.84 : x
  2. Step 2: Convert to fraction form
    473,474.72/710,330.16 = 141,047.84/x
  3. Step 3: Cross multiply
    473,474.72x = 710,330.16 × 141,047.84
  4. Step 4: Simplify right side
    473,474.72x = 100,190,534,754.85
  5. Step 5: Solve for x
    x = 100,190,534,754.85/473,474.72
  6. Step 6: Final answer
    x = 211,606.94

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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.