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Finding the Fourth Proportional to 314,794.05, 434,416.11 and 171,554.20

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Solution

The fourth proportional to 314,794.05, 434,416.11 and 171,554.20 is: 236,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,794.05 : 434,416.11 = 171,554.20 : x
  2. Step 2: Convert to fraction form
    314,794.05/434,416.11 = 171,554.20/x
  3. Step 3: Cross multiply
    314,794.05x = 434,416.11 × 171,554.20
  4. Step 4: Simplify right side
    314,794.05x = 74,525,909,897.38
  5. Step 5: Solve for x
    x = 74,525,909,897.38/314,794.05
  6. Step 6: Final answer
    x = 236,744.98

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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.