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Finding the Fourth Proportional to 465,258.17, 697,292.78 and 375,343.28

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Solution

The fourth proportional to 465,258.17, 697,292.78 and 375,343.28 is: 562,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,258.17 : 697,292.78 = 375,343.28 : x
  2. Step 2: Convert to fraction form
    465,258.17/697,292.78 = 375,343.28/x
  3. Step 3: Cross multiply
    465,258.17x = 697,292.78 × 375,343.28
  4. Step 4: Simplify right side
    465,258.17x = 261,724,159,165.52
  5. Step 5: Solve for x
    x = 261,724,159,165.52/465,258.17
  6. Step 6: Final answer
    x = 562,535.33

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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.