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Finding the Fourth Proportional to 458,802.90, 688,047.48 and 174,424.86

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Solution

The fourth proportional to 458,802.90, 688,047.48 and 174,424.86 is: 261,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,802.90 : 688,047.48 = 174,424.86 : x
  2. Step 2: Convert to fraction form
    458,802.90/688,047.48 = 174,424.86/x
  3. Step 3: Cross multiply
    458,802.90x = 688,047.48 × 174,424.86
  4. Step 4: Simplify right side
    458,802.90x = 120,012,585,372.35
  5. Step 5: Solve for x
    x = 120,012,585,372.35/458,802.90
  6. Step 6: Final answer
    x = 261,577.65

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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.