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Finding the Fourth Proportional to 514,050.24, 709,304.70 and 322,928.28

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Solution

The fourth proportional to 514,050.24, 709,304.70 and 322,928.28 is: 445,587.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,050.24 : 709,304.70 = 322,928.28 : x
  2. Step 2: Convert to fraction form
    514,050.24/709,304.70 = 322,928.28/x
  3. Step 3: Cross multiply
    514,050.24x = 709,304.70 × 322,928.28
  4. Step 4: Simplify right side
    514,050.24x = 229,054,546,766.92
  5. Step 5: Solve for x
    x = 229,054,546,766.92/514,050.24
  6. Step 6: Final answer
    x = 445,587.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.