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Finding the Fourth Proportional to 473,365.36, 709,633.32 and 178,084.72

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Solution

The fourth proportional to 473,365.36, 709,633.32 and 178,084.72 is: 266,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,365.36 : 709,633.32 = 178,084.72 : x
  2. Step 2: Convert to fraction form
    473,365.36/709,633.32 = 178,084.72/x
  3. Step 3: Cross multiply
    473,365.36x = 709,633.32 × 178,084.72
  4. Step 4: Simplify right side
    473,365.36x = 126,374,851,094.87
  5. Step 5: Solve for x
    x = 126,374,851,094.87/473,365.36
  6. Step 6: Final answer
    x = 266,971.06

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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.