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Finding the Fourth Proportional to 458,804.90, 688,050.48 and 174,426.86

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Solution

The fourth proportional to 458,804.90, 688,050.48 and 174,426.86 is: 261,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,804.90 : 688,050.48 = 174,426.86 : x
  2. Step 2: Convert to fraction form
    458,804.90/688,050.48 = 174,426.86/x
  3. Step 3: Cross multiply
    458,804.90x = 688,050.48 × 174,426.86
  4. Step 4: Simplify right side
    458,804.90x = 120,014,484,747.89
  5. Step 5: Solve for x
    x = 120,014,484,747.89/458,804.90
  6. Step 6: Final answer
    x = 261,580.65

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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.