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Finding the Fourth Proportional to 306,569.34, 462,733.69 and 306,569.34

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Solution

The fourth proportional to 306,569.34, 462,733.69 and 306,569.34 is: 462,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,569.34 : 462,733.69 = 306,569.34 : x
  2. Step 2: Convert to fraction form
    306,569.34/462,733.69 = 306,569.34/x
  3. Step 3: Cross multiply
    306,569.34x = 462,733.69 × 306,569.34
  4. Step 4: Simplify right side
    306,569.34x = 141,859,961,939.07
  5. Step 5: Solve for x
    x = 141,859,961,939.07/306,569.34
  6. Step 6: Final answer
    x = 462,733.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.