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Finding the Fourth Proportional to 352,106.40, 527,576.40 and 299,618.40

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Solution

The fourth proportional to 352,106.40, 527,576.40 and 299,618.40 is: 448,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,106.40 : 527,576.40 = 299,618.40 : x
  2. Step 2: Convert to fraction form
    352,106.40/527,576.40 = 299,618.40/x
  3. Step 3: Cross multiply
    352,106.40x = 527,576.40 × 299,618.40
  4. Step 4: Simplify right side
    352,106.40x = 158,071,596,845.76
  5. Step 5: Solve for x
    x = 158,071,596,845.76/352,106.40
  6. Step 6: Final answer
    x = 448,931.34

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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.