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Finding the Fourth Proportional to 567,188.24, 782,719.84 and 309,065.23

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Solution

The fourth proportional to 567,188.24, 782,719.84 and 309,065.23 is: 426,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,188.24 : 782,719.84 = 309,065.23 : x
  2. Step 2: Convert to fraction form
    567,188.24/782,719.84 = 309,065.23/x
  3. Step 3: Cross multiply
    567,188.24x = 782,719.84 × 309,065.23
  4. Step 4: Simplify right side
    567,188.24x = 241,911,484,337.10
  5. Step 5: Solve for x
    x = 241,911,484,337.10/567,188.24
  6. Step 6: Final answer
    x = 426,510.05

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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.