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Finding the Fourth Proportional to 514,052.24, 709,307.46 and 322,930.28

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Solution

The fourth proportional to 514,052.24, 709,307.46 and 322,930.28 is: 445,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,052.24 : 709,307.46 = 322,930.28 : x
  2. Step 2: Convert to fraction form
    514,052.24/709,307.46 = 322,930.28/x
  3. Step 3: Cross multiply
    514,052.24x = 709,307.46 × 322,930.28
  4. Step 4: Simplify right side
    514,052.24x = 229,056,856,663.89
  5. Step 5: Solve for x
    x = 229,056,856,663.89/514,052.24
  6. Step 6: Final answer
    x = 445,590.62

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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.