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Finding the Fourth Proportional to 409,324.32, 564,829.20 and 301,953.96

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Solution

The fourth proportional to 409,324.32, 564,829.20 and 301,953.96 is: 416,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,324.32 : 564,829.20 = 301,953.96 : x
  2. Step 2: Convert to fraction form
    409,324.32/564,829.20 = 301,953.96/x
  3. Step 3: Cross multiply
    409,324.32x = 564,829.20 × 301,953.96
  4. Step 4: Simplify right side
    409,324.32x = 170,552,413,663.63
  5. Step 5: Solve for x
    x = 170,552,413,663.63/409,324.32
  6. Step 6: Final answer
    x = 416,668.17

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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.