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Finding the Fourth Proportional to 514,641.06, 771,924.60 and 159,645.87

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Solution

The fourth proportional to 514,641.06, 771,924.60 and 159,645.87 is: 239,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,641.06 : 771,924.60 = 159,645.87 : x
  2. Step 2: Convert to fraction form
    514,641.06/771,924.60 = 159,645.87/x
  3. Step 3: Cross multiply
    514,641.06x = 771,924.60 × 159,645.87
  4. Step 4: Simplify right side
    514,641.06x = 123,234,574,341.40
  5. Step 5: Solve for x
    x = 123,234,574,341.40/514,641.06
  6. Step 6: Final answer
    x = 239,457.33

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Why These Related Problems?

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