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Finding the Fourth Proportional to 614,767.92, 848,384.65 and 342,853.35

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Solution

The fourth proportional to 614,767.92, 848,384.65 and 342,853.35 is: 473,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,767.92 : 848,384.65 = 342,853.35 : x
  2. Step 2: Convert to fraction form
    614,767.92/848,384.65 = 342,853.35/x
  3. Step 3: Cross multiply
    614,767.92x = 848,384.65 × 342,853.35
  4. Step 4: Simplify right side
    614,767.92x = 290,871,519,341.08
  5. Step 5: Solve for x
    x = 290,871,519,341.08/614,767.92
  6. Step 6: Final answer
    x = 473,140.37

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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.