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Finding the Fourth Proportional to 323,357.47, 446,247.06 and 180,117.57

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Solution

The fourth proportional to 323,357.47, 446,247.06 and 180,117.57 is: 248,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,357.47 : 446,247.06 = 180,117.57 : x
  2. Step 2: Convert to fraction form
    323,357.47/446,247.06 = 180,117.57/x
  3. Step 3: Cross multiply
    323,357.47x = 446,247.06 × 180,117.57
  4. Step 4: Simplify right side
    323,357.47x = 80,376,937,064.83
  5. Step 5: Solve for x
    x = 80,376,937,064.83/323,357.47
  6. Step 6: Final answer
    x = 248,569.91

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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.