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Finding the Fourth Proportional to 356,952.48, 534,376.64 and 312,665.76

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Solution

The fourth proportional to 356,952.48, 534,376.64 and 312,665.76 is: 468,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,952.48 : 534,376.64 = 312,665.76 : x
  2. Step 2: Convert to fraction form
    356,952.48/534,376.64 = 312,665.76/x
  3. Step 3: Cross multiply
    356,952.48x = 534,376.64 × 312,665.76
  4. Step 4: Simplify right side
    356,952.48x = 167,081,278,271.85
  5. Step 5: Solve for x
    x = 167,081,278,271.85/356,952.48
  6. Step 6: Final answer
    x = 468,077.09

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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.