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Finding the Fourth Proportional to 288,565.80, 432,848.70 and 182,277.60

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Solution

The fourth proportional to 288,565.80, 432,848.70 and 182,277.60 is: 273,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,565.80 : 432,848.70 = 182,277.60 : x
  2. Step 2: Convert to fraction form
    288,565.80/432,848.70 = 182,277.60/x
  3. Step 3: Cross multiply
    288,565.80x = 432,848.70 × 182,277.60
  4. Step 4: Simplify right side
    288,565.80x = 78,898,622,199.12
  5. Step 5: Solve for x
    x = 78,898,622,199.12/288,565.80
  6. Step 6: Final answer
    x = 273,416.40

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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.