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Finding the Fourth Proportional to 514,547.15, 771,895.44 and 159,589.76

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Solution

The fourth proportional to 514,547.15, 771,895.44 and 159,589.76 is: 239,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,547.15 : 771,895.44 = 159,589.76 : x
  2. Step 2: Convert to fraction form
    514,547.15/771,895.44 = 159,589.76/x
  3. Step 3: Cross multiply
    514,547.15x = 771,895.44 × 159,589.76
  4. Step 4: Simplify right side
    514,547.15x = 123,186,604,155.22
  5. Step 5: Solve for x
    x = 123,186,604,155.22/514,547.15
  6. Step 6: Final answer
    x = 239,407.81

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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.