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Finding the Fourth Proportional to 426,741.60, 640,207.72 and 160,504.40

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Solution

The fourth proportional to 426,741.60, 640,207.72 and 160,504.40 is: 240,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,741.60 : 640,207.72 = 160,504.40 : x
  2. Step 2: Convert to fraction form
    426,741.60/640,207.72 = 160,504.40/x
  3. Step 3: Cross multiply
    426,741.60x = 640,207.72 × 160,504.40
  4. Step 4: Simplify right side
    426,741.60x = 102,756,155,973.97
  5. Step 5: Solve for x
    x = 102,756,155,973.97/426,741.60
  6. Step 6: Final answer
    x = 240,792.45

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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.