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Finding the Fourth Proportional to 314,257.83, 433,674.99 and 171,017.83

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Solution

The fourth proportional to 314,257.83, 433,674.99 and 171,017.83 is: 236,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,257.83 : 433,674.99 = 171,017.83 : x
  2. Step 2: Convert to fraction form
    314,257.83/433,674.99 = 171,017.83/x
  3. Step 3: Cross multiply
    314,257.83x = 433,674.99 × 171,017.83
  4. Step 4: Simplify right side
    314,257.83x = 74,166,155,715.07
  5. Step 5: Solve for x
    x = 74,166,155,715.07/314,257.83
  6. Step 6: Final answer
    x = 236,004.16

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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.