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Finding the Fourth Proportional to 315,447, 473,167.86 and 78,788.08

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Solution

The fourth proportional to 315,447, 473,167.86 and 78,788.08 is: 118,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,447 : 473,167.86 = 78,788.08 : x
  2. Step 2: Convert to fraction form
    315,447/473,167.86 = 78,788.08/x
  3. Step 3: Cross multiply
    315,447x = 473,167.86 × 78,788.08
  4. Step 4: Simplify right side
    315,447x = 37,279,987,207.11
  5. Step 5: Solve for x
    x = 37,279,987,207.11/315,447
  6. Step 6: Final answer
    x = 118,181.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.