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Finding the Fourth Proportional to 614,768.92, 848,386.02 and 342,854.34

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Solution

The fourth proportional to 614,768.92, 848,386.02 and 342,854.34 is: 473,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,768.92 : 848,386.02 = 342,854.34 : x
  2. Step 2: Convert to fraction form
    614,768.92/848,386.02 = 342,854.34/x
  3. Step 3: Cross multiply
    614,768.92x = 848,386.02 × 342,854.34
  4. Step 4: Simplify right side
    614,768.92x = 290,872,828,952.33
  5. Step 5: Solve for x
    x = 290,872,828,952.33/614,768.92
  6. Step 6: Final answer
    x = 473,141.73

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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.