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Finding the Fourth Proportional to 473,476.10, 710,365.41 and 169,665.12

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Solution

The fourth proportional to 473,476.10, 710,365.41 and 169,665.12 is: 254,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,476.10 : 710,365.41 = 169,665.12 : x
  2. Step 2: Convert to fraction form
    473,476.10/710,365.41 = 169,665.12/x
  3. Step 3: Cross multiply
    473,476.10x = 710,365.41 × 169,665.12
  4. Step 4: Simplify right side
    473,476.10x = 120,524,232,531.50
  5. Step 5: Solve for x
    x = 120,524,232,531.50/473,476.10
  6. Step 6: Final answer
    x = 254,551.89

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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.