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Finding the Fourth Proportional to 675,207, 930,823.92 and 460,071

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Solution

The fourth proportional to 675,207, 930,823.92 and 460,071 is: 634,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,207 : 930,823.92 = 460,071 : x
  2. Step 2: Convert to fraction form
    675,207/930,823.92 = 460,071/x
  3. Step 3: Cross multiply
    675,207x = 930,823.92 × 460,071
  4. Step 4: Simplify right side
    675,207x = 428,245,091,698.32
  5. Step 5: Solve for x
    x = 428,245,091,698.32/675,207
  6. Step 6: Final answer
    x = 634,242.67

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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.