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Finding the Fourth Proportional to 334,412.74, 501,648.27 and 97,779.34

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Solution

The fourth proportional to 334,412.74, 501,648.27 and 97,779.34 is: 146,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,412.74 : 501,648.27 = 97,779.34 : x
  2. Step 2: Convert to fraction form
    334,412.74/501,648.27 = 97,779.34/x
  3. Step 3: Cross multiply
    334,412.74x = 501,648.27 × 97,779.34
  4. Step 4: Simplify right side
    334,412.74x = 49,050,836,752.74
  5. Step 5: Solve for x
    x = 49,050,836,752.74/334,412.74
  6. Step 6: Final answer
    x = 146,677.54

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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.