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Finding the Fourth Proportional to 566,438.34, 781,759.54 and 340,098.42

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Solution

The fourth proportional to 566,438.34, 781,759.54 and 340,098.42 is: 469,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,438.34 : 781,759.54 = 340,098.42 : x
  2. Step 2: Convert to fraction form
    566,438.34/781,759.54 = 340,098.42/x
  3. Step 3: Cross multiply
    566,438.34x = 781,759.54 × 340,098.42
  4. Step 4: Simplify right side
    566,438.34x = 265,875,184,373.93
  5. Step 5: Solve for x
    x = 265,875,184,373.93/566,438.34
  6. Step 6: Final answer
    x = 469,380.63

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1.5x scale

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.