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Finding the Fourth Proportional to 530,240.78, 731,490.54 and 315,258.68

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Solution

The fourth proportional to 530,240.78, 731,490.54 and 315,258.68 is: 434,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,240.78 : 731,490.54 = 315,258.68 : x
  2. Step 2: Convert to fraction form
    530,240.78/731,490.54 = 315,258.68/x
  3. Step 3: Cross multiply
    530,240.78x = 731,490.54 × 315,258.68
  4. Step 4: Simplify right side
    530,240.78x = 230,608,742,072.89
  5. Step 5: Solve for x
    x = 230,608,742,072.89/530,240.78
  6. Step 6: Final answer
    x = 434,913.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.