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Finding the Fourth Proportional to 471,968, 651,315.84 and 260,000

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Solution

The fourth proportional to 471,968, 651,315.84 and 260,000 is: 358,800

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,968 : 651,315.84 = 260,000 : x
  2. Step 2: Convert to fraction form
    471,968/651,315.84 = 260,000/x
  3. Step 3: Cross multiply
    471,968x = 651,315.84 × 260,000
  4. Step 4: Simplify right side
    471,968x = 169,342,118,400
  5. Step 5: Solve for x
    x = 169,342,118,400/471,968
  6. Step 6: Final answer
    x = 358,800

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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.