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Finding the Fourth Proportional to 314,459.46, 433,954.58 and 171,220.10

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Solution

The fourth proportional to 314,459.46, 433,954.58 and 171,220.10 is: 236,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,459.46 : 433,954.58 = 171,220.10 : x
  2. Step 2: Convert to fraction form
    314,459.46/433,954.58 = 171,220.10/x
  3. Step 3: Cross multiply
    314,459.46x = 433,954.58 × 171,220.10
  4. Step 4: Simplify right side
    314,459.46x = 74,301,743,557.18
  5. Step 5: Solve for x
    x = 74,301,743,557.18/314,459.46
  6. Step 6: Final answer
    x = 236,284.01

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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.