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Finding the Fourth Proportional to 426,545.76, 588,362.79 and 324,347.16

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Solution

The fourth proportional to 426,545.76, 588,362.79 and 324,347.16 is: 447,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,545.76 : 588,362.79 = 324,347.16 : x
  2. Step 2: Convert to fraction form
    426,545.76/588,362.79 = 324,347.16/x
  3. Step 3: Cross multiply
    426,545.76x = 588,362.79 × 324,347.16
  4. Step 4: Simplify right side
    426,545.76x = 190,833,799,986.18
  5. Step 5: Solve for x
    x = 190,833,799,986.18/426,545.76
  6. Step 6: Final answer
    x = 447,393.50

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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.