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Finding the Fourth Proportional to 525,602.16, 725,331.80 and 299,247.76

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Solution

The fourth proportional to 525,602.16, 725,331.80 and 299,247.76 is: 412,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,602.16 : 725,331.80 = 299,247.76 : x
  2. Step 2: Convert to fraction form
    525,602.16/725,331.80 = 299,247.76/x
  3. Step 3: Cross multiply
    525,602.16x = 725,331.80 × 299,247.76
  4. Step 4: Simplify right side
    525,602.16x = 217,053,916,406.77
  5. Step 5: Solve for x
    x = 217,053,916,406.77/525,602.16
  6. Step 6: Final answer
    x = 412,962.38

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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.