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Finding the Fourth Proportional to 407,332.06, 610,852.29 and 141,021.07

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Solution

The fourth proportional to 407,332.06, 610,852.29 and 141,021.07 is: 211,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,332.06 : 610,852.29 = 141,021.07 : x
  2. Step 2: Convert to fraction form
    407,332.06/610,852.29 = 141,021.07/x
  3. Step 3: Cross multiply
    407,332.06x = 610,852.29 × 141,021.07
  4. Step 4: Simplify right side
    407,332.06x = 86,143,043,547.75
  5. Step 5: Solve for x
    x = 86,143,043,547.75/407,332.06
  6. Step 6: Final answer
    x = 211,481.13

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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.