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Finding the Fourth Proportional to 312,430.71, 468,330.49 and 123,024

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Solution

The fourth proportional to 312,430.71, 468,330.49 and 123,024 is: 184,411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,430.71 : 468,330.49 = 123,024 : x
  2. Step 2: Convert to fraction form
    312,430.71/468,330.49 = 123,024/x
  3. Step 3: Cross multiply
    312,430.71x = 468,330.49 × 123,024
  4. Step 4: Simplify right side
    312,430.71x = 57,615,890,201.76
  5. Step 5: Solve for x
    x = 57,615,890,201.76/312,430.71
  6. Step 6: Final answer
    x = 184,411.74

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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.