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Finding the Fourth Proportional to 314,439.42, 433,929.54 and 180,277.50

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Solution

The fourth proportional to 314,439.42, 433,929.54 and 180,277.50 is: 248,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,439.42 : 433,929.54 = 180,277.50 : x
  2. Step 2: Convert to fraction form
    314,439.42/433,929.54 = 180,277.50/x
  3. Step 3: Cross multiply
    314,439.42x = 433,929.54 × 180,277.50
  4. Step 4: Simplify right side
    314,439.42x = 78,227,732,647.35
  5. Step 5: Solve for x
    x = 78,227,732,647.35/314,439.42
  6. Step 6: Final answer
    x = 248,784.75

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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.