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Finding the Fourth Proportional to 314,341.64, 433,783.86 and 180,197

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Solution

The fourth proportional to 314,341.64, 433,783.86 and 180,197 is: 248,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,341.64 : 433,783.86 = 180,197 : x
  2. Step 2: Convert to fraction form
    314,341.64/433,783.86 = 180,197/x
  3. Step 3: Cross multiply
    314,341.64x = 433,783.86 × 180,197
  4. Step 4: Simplify right side
    314,341.64x = 78,166,550,220.42
  5. Step 5: Solve for x
    x = 78,166,550,220.42/314,341.64
  6. Step 6: Final answer
    x = 248,667.50

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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.