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Finding the Fourth Proportional to 523,718.82, 723,008.16 and 352,536.80

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Solution

The fourth proportional to 523,718.82, 723,008.16 and 352,536.80 is: 486,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,718.82 : 723,008.16 = 352,536.80 : x
  2. Step 2: Convert to fraction form
    523,718.82/723,008.16 = 352,536.80/x
  3. Step 3: Cross multiply
    523,718.82x = 723,008.16 × 352,536.80
  4. Step 4: Simplify right side
    523,718.82x = 254,886,983,100.29
  5. Step 5: Solve for x
    x = 254,886,983,100.29/523,718.82
  6. Step 6: Final answer
    x = 486,686.70

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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.