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Finding the Fourth Proportional to 514,049.24, 709,303.32 and 322,927.28

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Solution

The fourth proportional to 514,049.24, 709,303.32 and 322,927.28 is: 445,586.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,049.24 : 709,303.32 = 322,927.28 : x
  2. Step 2: Convert to fraction form
    514,049.24/709,303.32 = 322,927.28/x
  3. Step 3: Cross multiply
    514,049.24x = 709,303.32 × 322,927.28
  4. Step 4: Simplify right side
    514,049.24x = 229,053,391,822.57
  5. Step 5: Solve for x
    x = 229,053,391,822.57/514,049.24
  6. Step 6: Final answer
    x = 445,586.48

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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.