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Finding the Fourth Proportional to 314,307.58, 433,753.73 and 171,076.90

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Solution

The fourth proportional to 314,307.58, 433,753.73 and 171,076.90 is: 236,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,307.58 : 433,753.73 = 171,076.90 : x
  2. Step 2: Convert to fraction form
    314,307.58/433,753.73 = 171,076.90/x
  3. Step 3: Cross multiply
    314,307.58x = 433,753.73 × 171,076.90
  4. Step 4: Simplify right side
    314,307.58x = 74,205,243,491.84
  5. Step 5: Solve for x
    x = 74,205,243,491.84/314,307.58
  6. Step 6: Final answer
    x = 236,091.17

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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.