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Finding the Fourth Proportional to 314,368.64, 433,828.77 and 171,129.77

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Solution

The fourth proportional to 314,368.64, 433,828.77 and 171,129.77 is: 236,159.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,368.64 : 433,828.77 = 171,129.77 : x
  2. Step 2: Convert to fraction form
    314,368.64/433,828.77 = 171,129.77/x
  3. Step 3: Cross multiply
    314,368.64x = 433,828.77 × 171,129.77
  4. Step 4: Simplify right side
    314,368.64x = 74,241,015,460.34
  5. Step 5: Solve for x
    x = 74,241,015,460.34/314,368.64
  6. Step 6: Final answer
    x = 236,159.10

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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.