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Finding the Fourth Proportional to 343,856.40, 515,784.60 and 308,864.40

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Solution

The fourth proportional to 343,856.40, 515,784.60 and 308,864.40 is: 463,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,856.40 : 515,784.60 = 308,864.40 : x
  2. Step 2: Convert to fraction form
    343,856.40/515,784.60 = 308,864.40/x
  3. Step 3: Cross multiply
    343,856.40x = 515,784.60 × 308,864.40
  4. Step 4: Simplify right side
    343,856.40x = 159,307,501,008.24
  5. Step 5: Solve for x
    x = 159,307,501,008.24/343,856.40
  6. Step 6: Final answer
    x = 463,296.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.