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Finding the Fourth Proportional to 473,472.34, 710,519.24 and 173,955.40

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Solution

The fourth proportional to 473,472.34, 710,519.24 and 173,955.40 is: 261,047.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,472.34 : 710,519.24 = 173,955.40 : x
  2. Step 2: Convert to fraction form
    473,472.34/710,519.24 = 173,955.40/x
  3. Step 3: Cross multiply
    473,472.34x = 710,519.24 × 173,955.40
  4. Step 4: Simplify right side
    473,472.34x = 123,598,657,260.49
  5. Step 5: Solve for x
    x = 123,598,657,260.49/473,472.34
  6. Step 6: Final answer
    x = 261,047.26

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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.