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Finding the Fourth Proportional to 564,888.04, 847,143.90 and 227,841.64

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Solution

The fourth proportional to 564,888.04, 847,143.90 and 227,841.64 is: 341,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,888.04 : 847,143.90 = 227,841.64 : x
  2. Step 2: Convert to fraction form
    564,888.04/847,143.90 = 227,841.64/x
  3. Step 3: Cross multiply
    564,888.04x = 847,143.90 × 227,841.64
  4. Step 4: Simplify right side
    564,888.04x = 193,014,655,492.00
  5. Step 5: Solve for x
    x = 193,014,655,492.00/564,888.04
  6. Step 6: Final answer
    x = 341,686.57

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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.