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Finding the Fourth Proportional to 340,802.54, 470,301.21 and 185,755.17

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Solution

The fourth proportional to 340,802.54, 470,301.21 and 185,755.17 is: 256,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,802.54 : 470,301.21 = 185,755.17 : x
  2. Step 2: Convert to fraction form
    340,802.54/470,301.21 = 185,755.17/x
  3. Step 3: Cross multiply
    340,802.54x = 470,301.21 × 185,755.17
  4. Step 4: Simplify right side
    340,802.54x = 87,360,881,214.76
  5. Step 5: Solve for x
    x = 87,360,881,214.76/340,802.54
  6. Step 6: Final answer
    x = 256,338.70

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1.5x scale

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.