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Finding the Fourth Proportional to 320,232.40, 441,922.14 and 175,041.16

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Solution

The fourth proportional to 320,232.40, 441,922.14 and 175,041.16 is: 241,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,232.40 : 441,922.14 = 175,041.16 : x
  2. Step 2: Convert to fraction form
    320,232.40/441,922.14 = 175,041.16/x
  3. Step 3: Cross multiply
    320,232.40x = 441,922.14 × 175,041.16
  4. Step 4: Simplify right side
    320,232.40x = 77,354,564,015.28
  5. Step 5: Solve for x
    x = 77,354,564,015.28/320,232.40
  6. Step 6: Final answer
    x = 241,557.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.