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Finding the Fourth Proportional to 541,688.61, 747,529.61 and 299,970.90

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Solution

The fourth proportional to 541,688.61, 747,529.61 and 299,970.90 is: 413,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,688.61 : 747,529.61 = 299,970.90 : x
  2. Step 2: Convert to fraction form
    541,688.61/747,529.61 = 299,970.90/x
  3. Step 3: Cross multiply
    541,688.61x = 747,529.61 × 299,970.90
  4. Step 4: Simplify right side
    541,688.61x = 224,237,128,388.50
  5. Step 5: Solve for x
    x = 224,237,128,388.50/541,688.61
  6. Step 6: Final answer
    x = 413,959.47

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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.