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Finding the Fourth Proportional to 356,929.92, 534,342.94 and 312,643.16

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Solution

The fourth proportional to 356,929.92, 534,342.94 and 312,643.16 is: 468,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,929.92 : 534,342.94 = 312,643.16 : x
  2. Step 2: Convert to fraction form
    356,929.92/534,342.94 = 312,643.16/x
  3. Step 3: Cross multiply
    356,929.92x = 534,342.94 × 312,643.16
  4. Step 4: Simplify right side
    356,929.92x = 167,058,665,285.29
  5. Step 5: Solve for x
    x = 167,058,665,285.29/356,929.92
  6. Step 6: Final answer
    x = 468,043.32

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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.