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Finding the Fourth Proportional to 468,051.60, 702,077.40 and 420,812.40

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Solution

The fourth proportional to 468,051.60, 702,077.40 and 420,812.40 is: 631,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,051.60 : 702,077.40 = 420,812.40 : x
  2. Step 2: Convert to fraction form
    468,051.60/702,077.40 = 420,812.40/x
  3. Step 3: Cross multiply
    468,051.60x = 702,077.40 × 420,812.40
  4. Step 4: Simplify right side
    468,051.60x = 295,442,875,679.76
  5. Step 5: Solve for x
    x = 295,442,875,679.76/468,051.60
  6. Step 6: Final answer
    x = 631,218.60

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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.