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Finding the Fourth Proportional to 427,817.60, 640,948.80 and 348,502.40

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Solution

The fourth proportional to 427,817.60, 640,948.80 and 348,502.40 is: 522,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,817.60 : 640,948.80 = 348,502.40 : x
  2. Step 2: Convert to fraction form
    427,817.60/640,948.80 = 348,502.40/x
  3. Step 3: Cross multiply
    427,817.60x = 640,948.80 × 348,502.40
  4. Step 4: Simplify right side
    427,817.60x = 223,372,195,077.12
  5. Step 5: Solve for x
    x = 223,372,195,077.12/427,817.60
  6. Step 6: Final answer
    x = 522,120.16

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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.