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Finding the Fourth Proportional to 375,895.96, 564,124.16 and 151,258.30

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Solution

The fourth proportional to 375,895.96, 564,124.16 and 151,258.30 is: 227,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,895.96 : 564,124.16 = 151,258.30 : x
  2. Step 2: Convert to fraction form
    375,895.96/564,124.16 = 151,258.30/x
  3. Step 3: Cross multiply
    375,895.96x = 564,124.16 × 151,258.30
  4. Step 4: Simplify right side
    375,895.96x = 85,328,460,398.36
  5. Step 5: Solve for x
    x = 85,328,460,398.36/375,895.96
  6. Step 6: Final answer
    x = 227,000.21

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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.