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Finding the Fourth Proportional to 314,649, 472,041.84 and 114,969.08

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Solution

The fourth proportional to 314,649, 472,041.84 and 114,969.08 is: 172,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,649 : 472,041.84 = 114,969.08 : x
  2. Step 2: Convert to fraction form
    314,649/472,041.84 = 114,969.08/x
  3. Step 3: Cross multiply
    314,649x = 472,041.84 × 114,969.08
  4. Step 4: Simplify right side
    314,649x = 54,270,213,706.10
  5. Step 5: Solve for x
    x = 54,270,213,706.10/314,649
  6. Step 6: Final answer
    x = 172,478.58

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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.