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Finding the Fourth Proportional to 342,378.40, 513,567.60 and 164,842.60

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Solution

The fourth proportional to 342,378.40, 513,567.60 and 164,842.60 is: 247,263.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,378.40 : 513,567.60 = 164,842.60 : x
  2. Step 2: Convert to fraction form
    342,378.40/513,567.60 = 164,842.60/x
  3. Step 3: Cross multiply
    342,378.40x = 513,567.60 × 164,842.60
  4. Step 4: Simplify right side
    342,378.40x = 84,657,818,459.76
  5. Step 5: Solve for x
    x = 84,657,818,459.76/342,378.40
  6. Step 6: Final answer
    x = 247,263.90

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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.