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Finding the Fourth Proportional to 563,457.48, 845,217.06 and 142,737

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Solution

The fourth proportional to 563,457.48, 845,217.06 and 142,737 is: 214,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,457.48 : 845,217.06 = 142,737 : x
  2. Step 2: Convert to fraction form
    563,457.48/845,217.06 = 142,737/x
  3. Step 3: Cross multiply
    563,457.48x = 845,217.06 × 142,737
  4. Step 4: Simplify right side
    563,457.48x = 120,643,747,493.22
  5. Step 5: Solve for x
    x = 120,643,747,493.22/563,457.48
  6. Step 6: Final answer
    x = 214,113.31

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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.