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Finding the Fourth Proportional to 464,729.94, 641,325.55 and 260,780.40

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Solution

The fourth proportional to 464,729.94, 641,325.55 and 260,780.40 is: 359,875.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,729.94 : 641,325.55 = 260,780.40 : x
  2. Step 2: Convert to fraction form
    464,729.94/641,325.55 = 260,780.40/x
  3. Step 3: Cross multiply
    464,729.94x = 641,325.55 × 260,780.40
  4. Step 4: Simplify right side
    464,729.94x = 167,245,133,459.22
  5. Step 5: Solve for x
    x = 167,245,133,459.22/464,729.94
  6. Step 6: Final answer
    x = 359,875.96

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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.