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Finding the Fourth Proportional to 260,025.40, 390,038.10 and 230,476.60

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Solution

The fourth proportional to 260,025.40, 390,038.10 and 230,476.60 is: 345,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,025.40 : 390,038.10 = 230,476.60 : x
  2. Step 2: Convert to fraction form
    260,025.40/390,038.10 = 230,476.60/x
  3. Step 3: Cross multiply
    260,025.40x = 390,038.10 × 230,476.60
  4. Step 4: Simplify right side
    260,025.40x = 89,894,655,158.46
  5. Step 5: Solve for x
    x = 89,894,655,158.46/260,025.40
  6. Step 6: Final answer
    x = 345,714.90

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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.