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Finding the Fourth Proportional to 410,679.51, 614,520.55 and 242,280.51

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Solution

The fourth proportional to 410,679.51, 614,520.55 and 242,280.51 is: 362,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,679.51 : 614,520.55 = 242,280.51 : x
  2. Step 2: Convert to fraction form
    410,679.51/614,520.55 = 242,280.51/x
  3. Step 3: Cross multiply
    410,679.51x = 614,520.55 × 242,280.51
  4. Step 4: Simplify right side
    410,679.51x = 148,886,352,259.48
  5. Step 5: Solve for x
    x = 148,886,352,259.48/410,679.51
  6. Step 6: Final answer
    x = 362,536.60

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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.