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Finding the Fourth Proportional to 567,956.24, 783,781.80 and 313,303.76

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Solution

The fourth proportional to 567,956.24, 783,781.80 and 313,303.76 is: 432,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,956.24 : 783,781.80 = 313,303.76 : x
  2. Step 2: Convert to fraction form
    567,956.24/783,781.80 = 313,303.76/x
  3. Step 3: Cross multiply
    567,956.24x = 783,781.80 × 313,303.76
  4. Step 4: Simplify right side
    567,956.24x = 245,561,784,959.57
  5. Step 5: Solve for x
    x = 245,561,784,959.57/567,956.24
  6. Step 6: Final answer
    x = 432,360.40

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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.