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Finding the Fourth Proportional to 564,851.10, 847,009.35 and 328,266.30

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Solution

The fourth proportional to 564,851.10, 847,009.35 and 328,266.30 is: 492,244.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,851.10 : 847,009.35 = 328,266.30 : x
  2. Step 2: Convert to fraction form
    564,851.10/847,009.35 = 328,266.30/x
  3. Step 3: Cross multiply
    564,851.10x = 847,009.35 × 328,266.30
  4. Step 4: Simplify right side
    564,851.10x = 278,044,625,389.91
  5. Step 5: Solve for x
    x = 278,044,625,389.91/564,851.10
  6. Step 6: Final answer
    x = 492,244.11

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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.