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Finding the Fourth Proportional to 517,597.37, 714,291.75 and 288,164.67

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Solution

The fourth proportional to 517,597.37, 714,291.75 and 288,164.67 is: 397,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,597.37 : 714,291.75 = 288,164.67 : x
  2. Step 2: Convert to fraction form
    517,597.37/714,291.75 = 288,164.67/x
  3. Step 3: Cross multiply
    517,597.37x = 714,291.75 × 288,164.67
  4. Step 4: Simplify right side
    517,597.37x = 205,833,643,743.88
  5. Step 5: Solve for x
    x = 205,833,643,743.88/517,597.37
  6. Step 6: Final answer
    x = 397,671.35

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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.