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Finding the Fourth Proportional to 585,224, 807,609.12 and 316,952

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Solution

The fourth proportional to 585,224, 807,609.12 and 316,952 is: 437,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,224 : 807,609.12 = 316,952 : x
  2. Step 2: Convert to fraction form
    585,224/807,609.12 = 316,952/x
  3. Step 3: Cross multiply
    585,224x = 807,609.12 × 316,952
  4. Step 4: Simplify right side
    585,224x = 255,973,325,802.24
  5. Step 5: Solve for x
    x = 255,973,325,802.24/585,224
  6. Step 6: Final answer
    x = 437,393.76

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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.