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Finding the Fourth Proportional to 288,752.62, 433,202.76 and 120,216.93

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Solution

The fourth proportional to 288,752.62, 433,202.76 and 120,216.93 is: 180,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,752.62 : 433,202.76 = 120,216.93 : x
  2. Step 2: Convert to fraction form
    288,752.62/433,202.76 = 120,216.93/x
  3. Step 3: Cross multiply
    288,752.62x = 433,202.76 × 120,216.93
  4. Step 4: Simplify right side
    288,752.62x = 52,078,307,567.26
  5. Step 5: Solve for x
    x = 52,078,307,567.26/288,752.62
  6. Step 6: Final answer
    x = 180,356.14

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1.5x scale

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.