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Finding the Fourth Proportional to 392,038.20, 586,502.10 and 340,025.40

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Solution

The fourth proportional to 392,038.20, 586,502.10 and 340,025.40 is: 508,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,038.20 : 586,502.10 = 340,025.40 : x
  2. Step 2: Convert to fraction form
    392,038.20/586,502.10 = 340,025.40/x
  3. Step 3: Cross multiply
    392,038.20x = 586,502.10 × 340,025.40
  4. Step 4: Simplify right side
    392,038.20x = 199,425,611,153.34
  5. Step 5: Solve for x
    x = 199,425,611,153.34/392,038.20
  6. Step 6: Final answer
    x = 508,689.23

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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.