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Finding the Fourth Proportional to 514,426.12, 771,741.66 and 159,549.16

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Solution

The fourth proportional to 514,426.12, 771,741.66 and 159,549.16 is: 239,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,426.12 : 771,741.66 = 159,549.16 : x
  2. Step 2: Convert to fraction form
    514,426.12/771,741.66 = 159,549.16/x
  3. Step 3: Cross multiply
    514,426.12x = 771,741.66 × 159,549.16
  4. Step 4: Simplify right side
    514,426.12x = 123,130,733,590.01
  5. Step 5: Solve for x
    x = 123,130,733,590.01/514,426.12
  6. Step 6: Final answer
    x = 239,355.52

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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.