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Finding the Fourth Proportional to 514,829.60, 771,454.92 and 234,018.80

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Solution

The fourth proportional to 514,829.60, 771,454.92 and 234,018.80 is: 350,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,829.60 : 771,454.92 = 234,018.80 : x
  2. Step 2: Convert to fraction form
    514,829.60/771,454.92 = 234,018.80/x
  3. Step 3: Cross multiply
    514,829.60x = 771,454.92 × 234,018.80
  4. Step 4: Simplify right side
    514,829.60x = 180,534,954,632.50
  5. Step 5: Solve for x
    x = 180,534,954,632.50/514,829.60
  6. Step 6: Final answer
    x = 350,669.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.