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Finding the Fourth Proportional to 306,013.72, 458,832.64 and 106,248.28

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Solution

The fourth proportional to 306,013.72, 458,832.64 and 106,248.28 is: 159,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,013.72 : 458,832.64 = 106,248.28 : x
  2. Step 2: Convert to fraction form
    306,013.72/458,832.64 = 106,248.28/x
  3. Step 3: Cross multiply
    306,013.72x = 458,832.64 × 106,248.28
  4. Step 4: Simplify right side
    306,013.72x = 48,750,178,807.86
  5. Step 5: Solve for x
    x = 48,750,178,807.86/306,013.72
  6. Step 6: Final answer
    x = 159,307.17

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1.5x scale

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.