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Finding the Fourth Proportional to 462,005.40, 693,108.90 and 262,421.40

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Solution

The fourth proportional to 462,005.40, 693,108.90 and 262,421.40 is: 393,689.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,005.40 : 693,108.90 = 262,421.40 : x
  2. Step 2: Convert to fraction form
    462,005.40/693,108.90 = 262,421.40/x
  3. Step 3: Cross multiply
    462,005.40x = 693,108.90 × 262,421.40
  4. Step 4: Simplify right side
    462,005.40x = 181,886,607,890.46
  5. Step 5: Solve for x
    x = 181,886,607,890.46/462,005.40
  6. Step 6: Final answer
    x = 393,689.35

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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.