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Finding the Fourth Proportional to 601,013.16, 900,190.92 and 411,023.28

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Solution

The fourth proportional to 601,013.16, 900,190.92 and 411,023.28 is: 615,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,013.16 : 900,190.92 = 411,023.28 : x
  2. Step 2: Convert to fraction form
    601,013.16/900,190.92 = 411,023.28/x
  3. Step 3: Cross multiply
    601,013.16x = 900,190.92 × 411,023.28
  4. Step 4: Simplify right side
    601,013.16x = 369,999,424,564.62
  5. Step 5: Solve for x
    x = 369,999,424,564.62/601,013.16
  6. Step 6: Final answer
    x = 615,626.16

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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.