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Finding the Fourth Proportional to 314,542.84, 434,055.60 and 171,303.24

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Solution

The fourth proportional to 314,542.84, 434,055.60 and 171,303.24 is: 236,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,542.84 : 434,055.60 = 171,303.24 : x
  2. Step 2: Convert to fraction form
    314,542.84/434,055.60 = 171,303.24/x
  3. Step 3: Cross multiply
    314,542.84x = 434,055.60 × 171,303.24
  4. Step 4: Simplify right side
    314,542.84x = 74,355,130,620.14
  5. Step 5: Solve for x
    x = 74,355,130,620.14/314,542.84
  6. Step 6: Final answer
    x = 236,391.11

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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.