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Finding the Fourth Proportional to 289,026.40, 434,576.40 and 243,407.20

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Solution

The fourth proportional to 289,026.40, 434,576.40 and 243,407.20 is: 365,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,026.40 : 434,576.40 = 243,407.20 : x
  2. Step 2: Convert to fraction form
    289,026.40/434,576.40 = 243,407.20/x
  3. Step 3: Cross multiply
    289,026.40x = 434,576.40 × 243,407.20
  4. Step 4: Simplify right side
    289,026.40x = 105,779,024,710.08
  5. Step 5: Solve for x
    x = 105,779,024,710.08/289,026.40
  6. Step 6: Final answer
    x = 365,983.95

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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.