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Finding the Fourth Proportional to 407,359.94, 610,894.10 and 141,048.95

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Solution

The fourth proportional to 407,359.94, 610,894.10 and 141,048.95 is: 211,522.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,359.94 : 610,894.10 = 141,048.95 : x
  2. Step 2: Convert to fraction form
    407,359.94/610,894.10 = 141,048.95/x
  3. Step 3: Cross multiply
    407,359.94x = 610,894.10 × 141,048.95
  4. Step 4: Simplify right side
    407,359.94x = 86,165,968,664.35
  5. Step 5: Solve for x
    x = 86,165,968,664.35/407,359.94
  6. Step 6: Final answer
    x = 211,522.93

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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.