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Finding the Fourth Proportional to 567,117.16, 782,656.50 and 312,468.28

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Solution

The fourth proportional to 567,117.16, 782,656.50 and 312,468.28 is: 431,225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,117.16 : 782,656.50 = 312,468.28 : x
  2. Step 2: Convert to fraction form
    567,117.16/782,656.50 = 312,468.28/x
  3. Step 3: Cross multiply
    567,117.16x = 782,656.50 × 312,468.28
  4. Step 4: Simplify right side
    567,117.16x = 244,555,330,385.82
  5. Step 5: Solve for x
    x = 244,555,330,385.82/567,117.16
  6. Step 6: Final answer
    x = 431,225.41

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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.