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Finding the Fourth Proportional to 314,355.99, 433,811.31 and 171,116.02

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Solution

The fourth proportional to 314,355.99, 433,811.31 and 171,116.02 is: 236,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,355.99 : 433,811.31 = 171,116.02 : x
  2. Step 2: Convert to fraction form
    314,355.99/433,811.31 = 171,116.02/x
  3. Step 3: Cross multiply
    314,355.99x = 433,811.31 × 171,116.02
  4. Step 4: Simplify right side
    314,355.99x = 74,232,064,798.19
  5. Step 5: Solve for x
    x = 74,232,064,798.19/314,355.99
  6. Step 6: Final answer
    x = 236,140.13

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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.