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Finding the Fourth Proportional to 541,655.51, 747,484.13 and 299,938.07

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Solution

The fourth proportional to 541,655.51, 747,484.13 and 299,938.07 is: 413,914.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,655.51 : 747,484.13 = 299,938.07 : x
  2. Step 2: Convert to fraction form
    541,655.51/747,484.13 = 299,938.07/x
  3. Step 3: Cross multiply
    541,655.51x = 747,484.13 × 299,938.07
  4. Step 4: Simplify right side
    541,655.51x = 224,198,947,307.83
  5. Step 5: Solve for x
    x = 224,198,947,307.83/541,655.51
  6. Step 6: Final answer
    x = 413,914.27

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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.