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Finding the Fourth Proportional to 288,014.60, 432,021.90 and 260,458.40

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Solution

The fourth proportional to 288,014.60, 432,021.90 and 260,458.40 is: 390,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,014.60 : 432,021.90 = 260,458.40 : x
  2. Step 2: Convert to fraction form
    288,014.60/432,021.90 = 260,458.40/x
  3. Step 3: Cross multiply
    288,014.60x = 432,021.90 × 260,458.40
  4. Step 4: Simplify right side
    288,014.60x = 112,523,732,838.96
  5. Step 5: Solve for x
    x = 112,523,732,838.96/288,014.60
  6. Step 6: Final answer
    x = 390,687.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.