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Finding the Fourth Proportional to 524,184.28, 785,701.08 and 299,053.76

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Solution

The fourth proportional to 524,184.28, 785,701.08 and 299,053.76 is: 448,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,184.28 : 785,701.08 = 299,053.76 : x
  2. Step 2: Convert to fraction form
    524,184.28/785,701.08 = 299,053.76/x
  3. Step 3: Cross multiply
    524,184.28x = 785,701.08 × 299,053.76
  4. Step 4: Simplify right side
    524,184.28x = 234,966,858,281.56
  5. Step 5: Solve for x
    x = 234,966,858,281.56/524,184.28
  6. Step 6: Final answer
    x = 448,252.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.