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Finding the Fourth Proportional to 514,547.90, 771,896.57 and 159,590.51

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Solution

The fourth proportional to 514,547.90, 771,896.57 and 159,590.51 is: 239,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,547.90 : 771,896.57 = 159,590.51 : x
  2. Step 2: Convert to fraction form
    514,547.90/771,896.57 = 159,590.51/x
  3. Step 3: Cross multiply
    514,547.90x = 771,896.57 × 159,590.51
  4. Step 4: Simplify right side
    514,547.90x = 123,187,362,616.12
  5. Step 5: Solve for x
    x = 123,187,362,616.12/514,547.90
  6. Step 6: Final answer
    x = 239,408.93

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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.