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Finding the Fourth Proportional to 473,371.40, 710,460.30 and 193,089.80

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Solution

The fourth proportional to 473,371.40, 710,460.30 and 193,089.80 is: 289,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,371.40 : 710,460.30 = 193,089.80 : x
  2. Step 2: Convert to fraction form
    473,371.40/710,460.30 = 193,089.80/x
  3. Step 3: Cross multiply
    473,371.40x = 710,460.30 × 193,089.80
  4. Step 4: Simplify right side
    473,371.40x = 137,182,637,234.94
  5. Step 5: Solve for x
    x = 137,182,637,234.94/473,371.40
  6. Step 6: Final answer
    x = 289,799.17

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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.