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Finding the Fourth Proportional to 458,803.90, 688,048.98 and 174,425.86

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Solution

The fourth proportional to 458,803.90, 688,048.98 and 174,425.86 is: 261,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,803.90 : 688,048.98 = 174,425.86 : x
  2. Step 2: Convert to fraction form
    458,803.90/688,048.98 = 174,425.86/x
  3. Step 3: Cross multiply
    458,803.90x = 688,048.98 × 174,425.86
  4. Step 4: Simplify right side
    458,803.90x = 120,013,535,058.62
  5. Step 5: Solve for x
    x = 120,013,535,058.62/458,803.90
  6. Step 6: Final answer
    x = 261,579.15

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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.