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Finding the Fourth Proportional to 593,048, 818,409.12 and 324,776

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Solution

The fourth proportional to 593,048, 818,409.12 and 324,776 is: 448,192.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,048 : 818,409.12 = 324,776 : x
  2. Step 2: Convert to fraction form
    593,048/818,409.12 = 324,776/x
  3. Step 3: Cross multiply
    593,048x = 818,409.12 × 324,776
  4. Step 4: Simplify right side
    593,048x = 265,799,640,357.12
  5. Step 5: Solve for x
    x = 265,799,640,357.12/593,048
  6. Step 6: Final answer
    x = 448,192.46

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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.