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Finding the Fourth Proportional to 314,480.14, 433,924.92 and 185,459.10

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Solution

The fourth proportional to 314,480.14, 433,924.92 and 185,459.10 is: 255,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,480.14 : 433,924.92 = 185,459.10 : x
  2. Step 2: Convert to fraction form
    314,480.14/433,924.92 = 185,459.10/x
  3. Step 3: Cross multiply
    314,480.14x = 433,924.92 × 185,459.10
  4. Step 4: Simplify right side
    314,480.14x = 80,475,325,130.77
  5. Step 5: Solve for x
    x = 80,475,325,130.77/314,480.14
  6. Step 6: Final answer
    x = 255,899.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.