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Finding the Fourth Proportional to 356,928.92, 534,341.44 and 312,642.16

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Solution

The fourth proportional to 356,928.92, 534,341.44 and 312,642.16 is: 468,041.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,928.92 : 534,341.44 = 312,642.16 : x
  2. Step 2: Convert to fraction form
    356,928.92/534,341.44 = 312,642.16/x
  3. Step 3: Cross multiply
    356,928.92x = 534,341.44 × 312,642.16
  4. Step 4: Simplify right side
    356,928.92x = 167,057,661,979.11
  5. Step 5: Solve for x
    x = 167,057,661,979.11/356,928.92
  6. Step 6: Final answer
    x = 468,041.82

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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.